



 
Hi Linda, Are you sure you have stated this problem correctly? To solve it I let $m$ be James' age now and $n$ be John's age now. Since "James is now 3/5 John's age." I get \[m = \frac23 n.\] Three years ago James' age was $m3$ and John's age was $n3.$ Since "Three years ago, he was 1/2 John's age" \[m3 = \frac12 (n3).\] Solving these equations I got $n=9$ and $m=6.$ The problem I have is that three years from now their ages don't satisfy the condition given in the third sentence of your problem. Penny  


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