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?

Respuesta :

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.