SOLUTION: I have 3 sons. The product of their ages is 36. The sum of their ages is 13. How old are my 3 sons

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Question 1030280: I have 3 sons. The product of their ages is 36. The sum of their ages is 13. How old are my 3 sons
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let their ages be +a+, +b+, and +c+
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(1) +a%2Ab%2Ac+=+36+%0D%0A%282%29+%7B%7B%7B+a+%2B+b+%2B+c+=+13+
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There are 3 unknowns, but only
2 equations, so guessing is the
only way I know how to do it
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I'll try
(2) +3+%2B+4+%2B+6+=+13+
Numbers are too large because:
(1) +3%2A4%2A6+=+72+
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I'll try
(2) +3+%2B+2+%2B+8+=+13+
(1) +3%2A2%2A8+=+48+
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I'll try
(2) +2+%2B+2+%2B+9+=+13+
(1) +2%2A2%2A9+=+36+
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Two of them are 2 yrs old
One of them is 9 yrs old
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I don't know if that's the only
solution