Solve the puzzle from the clues. Show your work.Clue

1: We are two whole numbers less than or equal to 12.

Clue 2: Our least common multiple is 36.

Clue 3: Our greatest common factor is 1.What two whole numbers are we?

Answer:

Step-by-step explanation:

From clue one we know the numbers can be these because they add up to 12.

0 and 12 0+12=12

1 and 11 1+11=12

2 and 10 2+10=12

3 and 9 3+9=12

4 and 8 4+8=12

5 and 7 5+7=12

or 6 and 6 6+6=12

From clue two, we know the least common multiple is 36 so:

LCM of 0 and 12 -> NOT 36

LCM of 1 and 11 -> 11

LCM of 2 and 10 -> 10

LCM of 3 and 9 -> 9

LCM of 4 and 8 -> 8

LCM of 5 and 7 -> 35

LCM of 6 and 6 -> 6

none have a least common multiple of 36.

Please show clue 3 and make sure clue 2 is correct before I can finish.

The number with GCF 1 can be (2 and 3), (3, 4) and (4, 9)

The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm), lowest common multiple (lcm), or smallest common multiple of two numbers a and b in mathematics and number theory.

Given:

1: We are two whole numbers less than or equal to 12.

Numbers are: 1, 2, 3, 4, 5,, 6, 7, 8, 9, 10, 11, 12

Clue 2: Our least common multiple is 36.

Number which have multiple 36 are: 2, 3, 4, 6, 9 , 12

Clue 3: Our greatest common factor is 1.

so, the number with GCF 1 can be (2 and 3), (3, 4) and (4, 9)

Learn more about LCM here:

https://brainly.com/question/20739723

#SPJ5

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