Posted by **someone** on Tuesday, September 30, 2008 at 12:07am.

I am thinking of 3 different whole numbers which have a product of 36. 5 more than the sum of the 3 numbers is a perfect square. what is the sum of my 3 numbers?

- math -
**drwls**, Tuesday, September 30, 2008 at 3:33am
Make a list of all possible combinations of three numbers with a product of 36. There are not very many.

The prime factors are 1*2*2*3*3. Make up the combinations from them, in groups of 3. Then compute the sums.

3 2 9 Sum = 15

18 1 2 Sum = 21

2 3 6 Sum = 11

3 3 4 Sum = 10

Add five to those sums. One number you get is a perfect square

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