Bob says he has 3 kids, the product of their ages is 72, and his youngest child called Justice. Correctly determine the ages of Bob's children.

Question

Answer Choices:

2, 6, 6

1, 8, 9

2, 3, 12

3, 4, 6

Answer 1

"the product of their ages is 72"  --  We assume that the ages of the 3 kids are integers (no fractional years).

 

The factors of 72 are:

    1*2*2*2*3*3

 

We must group these numbers so that there is "his youngest" (that is, not a twin or triplet).

 

We may split 1*2*2*2*3*3 into 1*2=2, 2*3=6 and 2*3=6

or                                              1, 2*2*2=8, and 3*3=9

or                                              1*2=2, 3 and 2*2*3=12

or                                              1*3, 2*2=4 and 2*3=6.

 

Looks like all of the choices are correct!