Question 370006: Mr. and Mrs. Wang are both 40 years old. They have a pair of twin daughters and a son. The product of the ages of the children is 36. Find the possible ages of the children.
Answer by Earlsdon(6294)   (Show Source):
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The product of their ages is 36.
They have a pair of twin daughters.
Mr. & Mrs. Wang are 40 years old.
What are the possible ages of the children?
Let's first find the factors of 36 which will represent the possible ages of the three children:
1*1*36 = 36
1*2*18 = 36
1*3*12 = 36
1*4*9 = 36
1*6*6 = 36
2*2*9 = 36
3*3*4 = 36
Now select from this list the entries that have double (twin) integers.
1*1*36 = 36
1*6*6 = 36
2*2*9 = 36
3*3*4 = 36
The first entry doesn't qualify because if the parents are 40, they would not have a child who is 36.
This leaves the remaining entries:
1, 6, and 6.
2, 2, and 9.
3, 3, and 4.
as the possible ages.
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