Question 1093502
<br>If the ages are all prime numbers and their product is 6055, then one of the ages must be 5.  So Gerry is 5 years old.<br>
The other two ages multiply to 3055/5 = 611 and add to 65-5=60.  You could solve that algebraically using
{{{ab = 611}}} and
{{{a+b = 60}}}<br>
However, the algebraic solution would probably end up requiring some trial and error, so it is almost certainly easier to get to the final answer by logical trial and error.<br>
We need two ages that are appropriate for a father and son, are prime numbers, and have a sum of 60.  Look for such pairs of numbers and find one for which the product is 611.<br>
Note that you have another clue to help narrow down the search.  If the product of two numbers ends in the digit 1 and the sum ends in the digit 0, then the last digits of the two number have to be 3 and 7.  Since the two ages need to be appropriate for the older brother of a 5-year-old and the father of the two boys, the only likely candidates are 13 and 47, or 17 and 43.<br>
And one of those pairs gives you the correct product of 611, giving you the answer to the problem.