SOLUTION: Could you please help me with this problem. Thank you in advance. Three ex-teenagers find that the product of their ages is 26,390. Find the sum of their ages.

Question 111890:
Could you please help me with this problem. Thank you in advance.
Three ex-teenagers find that the product of their ages is 26,390.
Find the sum of their ages.

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Your problem statement doesn't say, but I have to assume that the ages of the three people must be expressed in integers, otherwise there is no unique solution.

Since they are ex-teenagers, you know they have to be at least 20 years old. But and that isn't large enough. which is just a little larger than the number we are looking for.

Now if you start dividing 26,390 by 20, then 21, and so on, the first number that divides evenly is 26. , so we have a possible first number.

So take the 1015 result and start dividing by 20, 21, etc. again, and you have to get all the way up to 29 before you obtain an even divisor.

So that gives you the three ages, 26, 29, and 35. And the sum is 90
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