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A number consists of two digits. The digit at the ten's place is
two times the digit at the unit's place. The number formed by
reversing the digit is 27 less than the original number. Find
the original number?
[CMAT 2011]​

Answers

Answer 1

9514 1404 393

Answer:

  63

Step-by-step explanation:

Reversing the digits changes the value by a factor of 9 times the difference in the digit values. Here, this means the digits differ by 27/9 = 3. If one digit is double the other, the higher digit is 2×3 = 6.

The number is 63.

_____

If you like, you can work through the algebra of it. Let the original number have tens digit x and ones digit y.

  original number value = 10x +y

  reversed number value = 10y +x

  difference of values = 27 = (10x +y) -(10y +x) = 9(x -y)

The tens digit is twice the ones digit, so we have ...

  x = 2y

Substituting in the difference equation, we have ...

  27 = 9(x -y)

  3 = (2y -y) = y . . . . . divide by 9, substitute for x

  x = 2(3) = 6

The number is 10x+y = 63.


Related Questions

Kelly has a rectangular fish aquarium that measures 18 inches long 8 inches wide and 12 inches tall what is the maximum amount of water the aquarium can hold?

Answers

Answer:

1728

Step-by-step explanation:

Volume=length*width*height

Vol=18*8*12=1728 cubic inches

What is equivalent to (9f + 12)*4)

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Answer:

10

Step-by-step explanation:

Steve can clean 9 cars in 3 3/4 hours how many cars per hour?

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2.4

Step-by-step explanation:

I'm learning how to write equations of lines and I'm not sure how to answer this problem. can someone please help me?​

Answers

Answer:

sorry... i think i have never seen a problem like this..3

Answer:

y = -½x - 8

Step-by-step explanation:

You can see that (0,-8) and (2,-9) are points on the line. Use their coordinates to find the slope of the line.

Then use the slope and one of the points to write an equation in point-slope form.

One circle has a diameter of 6 inches. A second, larger circle has a diameter that is four times the diameter of the first circle. What is the ratio of the area of the smaller circle to the larger circle?

A 2:3
B 1:6.4
C 1:16
D 1:64

Answers

Answer:

Step-by-step explanation:

d₁ = 6 inches

r₁ = 3 inches

area = πr₁² = 9π in²

d₂ = 24 inches

r₂ = 12 inches

area = πr₂² = 144π in²

ratio of areas = (9π)/(144π) = 9/144 = 1/16

1. Find the measure of <2

Answers

Answer:

Step-by-step explanation:

If quadrilateral is rhombus, then m∠2 = 60°

HELP ASAP !! During one team's session, the ratio of the number of games the team won to the number of games the team played was 4 to 12. The team played 42 games. How many games did the team win? A) 17 Games. B) 11 Games. C) 10 Games or D) 14 games.

Answers

Answer:

In a certain sport, teams receive 3 points for each win, 1 point for each draw, and no points for losses. In a five-team tournament in this sport, in which each of teams G, H, J, K, and L played each other team exactly once, did team L finish the tournament with the highest point total?

Step-by-step explanation:

How many unique triangles can be drawn side lengths of 5 inches and 6 inches, with an angle of 45 degrees bewteen the given sides?

Answers

Answer:

1

Step-by-step explanation:

SAS is one of the methods to define congruent triangles. When two sides and the angle between these two sides are specified, the triangle has been defined certainly.

Answer:

1

Step-by-step explanation:

becasue

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Answers

Answer:

Step-by-step explanation:

Answer:

the answer is 19/11!!!!!


Bashir deposits money into a savings account every year. In his first year of saving money, he deposited $1,500.
Each year after that, he deposited $2,250. Write an explicit expression to represent the total amount of money, in
dollars, Bashir has deposited into his account, where n represents the number of years he has been contributing
money to the account.
For n ≥ 1, the explicit expression is
Will mark BRAINLYIST

Answers

Answer:

1500 + 2250 =

Step-by-step explanation:

Answer:

aₙ =  2250n - 750

Step-by-step explanation:

This is an arithmetic progression with:

The first term a₁ = 1500Common difference d = 2250

Required expression is:

aₙ = a₁ + (n - 1)daₙ = 1500 + (n - 1)2250 =      1500 + 2250n - 2250 =     2250n - 750

4x=-20 solve for x show ur work​

Answers

Answer:

The answer is x=-5

Step-by-step explanation:

Step 1: Divide both sides by 4.

4x /4  =  −20/4

x=−5

A number line graph is shown:

A number line is shown from negative 8 to 8 at increments of 1. A circle is shown at negative 3. The entire portion of the number line to the right of negative 3 is shaded

Based on the graph, which inequality is correct for a number that is to the right of −3?

A) 1 < −3
B)2 < −3
C)−2 > −3
D)−4 > −3 please help I am not good at this (10 points)

Answers

Answer:

C is the correct answer. - 2 is > - 3 because the lower the number of negative number is bigger

consider the two functions which statement is true

Answers

Answer:

The right answer is D

Step-by-step explanation:

The slope of the first function is 2.5, the slope of the second function is 3, so function 2 has a greater rate of change by [tex]\frac{1}{2}[/tex].

40% of
a number is 8 more than the
number
Which is the number

Answers

Do you mean 8 more smaller if so the answer to your question is
X+y=40
Y=8 + x
Substituting the second equation into the first:
X+(8+x)=40
2x+8=40
2x=32
Smaller number: x=16
Y=8+(16)
Large number: y=24

Suppose two angles of one triangle are congruent to two angles of another triangle. Using
the Triangle Sum Theorem, what could you conclude about the third angles in each
triangle? Justify your answer.

Answers

Answer:

عربيععربيعربيع   ربيعربيعربيعربي

Step-by-step explanation:

Arithmetic question: You need to serve 58 people, 2 slices of pizza each. (Each pizza will be cut into 12 slices each.)  (1) How many pieces of pizza do you need altogether? Identify the original  improper fraction (or its reduced form) needed to solve this problem. Calculate the solution to give a mixed number answer? (2) How many pizzas do you need to order and how many extra slices will you have? Show any work needed to answer questions. ​

Answers

Answer:

5 order pizza

Step-by-step explanation:

12+12+12+12+12=60 I have 2 extra pizza

a car is traveling at a speed of 83 mph. what is the cars speed in miles per minute? how many miles will the car travel in 2 minutes?

Answers

It’s 1.4 miles per min and 1.8 miles in 2 minutes :)


11.Write the equations of linear and exponential functions that pass through the points (0,9) and (1,3)

Answers

9514 1404 393

Answer:

  y = -6x +9

  y = 9·(1/3)^x

Step-by-step explanation:

In each case, the y-intercept is 9.

Linear

The slope is rise/run = (3-9)/(1-0) = -6, so the equation is ...

  y = mx + b . . . . . . . slope m, intercept b

  y = -6x +9

Exponential

The ratio of value at x=1 to that at x=0 is 3/9 = 1/3. That is the "growth factor," so the equation is ...

  y = 9·(1/3)^x

Which expression is equivalent to 6(c+8)?

Answers

Answer:

Step-by-step explanation:

You haven't provide expressions to choose from.

6(c+8) = 6c+48

Answer:

6c + 48

Step-by-step explanation:

Please help I’m being timed

Answers

Mark me bring me a smoke me brainless Mark me bring me a smoke me bring me a martini bring me a smart me brainless

Answer:

A. 60 because 70 +50 =120 and 180 - 120 is 60 so your answer is 60

Step-by-step explanation:

60

help? will give brainliest

Answers

Answer: The formula to determine the multiplier is M = 1 / (1 - MPC). Once the multiplier is determined, the multiplier effect, or amount of money needed to be injected into an economy, can also be determined. This amount is calculated by dividing the total amount of spending needed by the multiplier.

Step-by-step explanation:

Help me pls I do not want to fail math.

Answers

Answer:

2a=3b

Step-by-step explanation:

b/a=2/3 not b/a =3/2

b/3=a/2 not b/2=a/3

2a/3=b not 3a/2=b

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THANK YOU

What type of angles are these?
Complementary, Supplementary, or Neither
Got It? Do these problems to find out.
-15
85° | 90°
75

Answers

Answer:

a: Neither; b: Complementary

Step-by-step explanation:

Complementary= 90 degrees

Supplementary= 180 degrees

For letter a. the answer is neither because 85 +90= 175 degrees, not 90 or 180 degrees.

For letter b. the answer is complementary because 75 +15= 90 degrees.

If anyone can help me with this it would be awesome

Answers

Answer:

The last question is 41!

Step-by-step explanation:

A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?

Answers

Answer:

p = 421 - 376 over 376

Step-by-step explanation:

The actual distance from Jarret's home to
Lake Mitchell is 140 miles. The distance on a map
is 3.5 inches.
What scale could have been used for the map?
O 1 inch = 4 miles
O =
1 inch = 40 miles
0 =
1 inch = 137.5 miles
O
1 inch = 490 miles

Answers

Answer:

1 inch= 40 miles

Step-by-step explanation:

u don't need one it's very easy

Can someone help me thank you

Answers

Answer:

a. 1,289,400

b. 800,000

c. 7,000,000

(I hope this helps)

Which expresses a ratio in fraction form?
4:7
4 to 7
4/7
714

Answers

Answer:

I think it is 4/7 I might be wrong

I’m pretty sure it might be 4:7
But I’m not positive that’s the answer

In a bag there are 3 red marbles, 2 yellow marbles, and 1 blue marble. What is the percent chance of a yellow marble being selected on the first draw?
Group of answer choices

Answers

Answer:

33.333333% (the 3 goes on forever)

please help me am I. troubles​

Answers

Answer:

[tex] \frac{ {x}^{2} }{y(x - y)} + \frac{ {y}^{2} }{ - x(x - y)} [/tex]

[tex] \frac{ {x}^{2} }{y(x - y)} - \frac{ {y}^{2} }{x(x - y)} [/tex]

[tex] \frac{ {x}^{2} \times x - {y}^{2} \times y}{xy(x -y)} [/tex]

[tex] \frac{(x - y)( {x}^{2} + xy + {y}^{2}) }{xy(x - y)} [/tex]

[tex] \frac{ {x}^{2} + xy + {y}^{2} }{xy} [/tex]

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