Question 1093907

Aaron is four more than one-half as old as Hunter. Kevin is thirty-one less than four times the age of Aaron. In five years, Kevin will be twenty-five less than three times the age of Aaron. How old is Kevin?
<pre>Hunter has absolutely nothing to do with this problem, so info about him is excessive and unnecessary.
Let Aaron's age be A, and Kevin's, K
Then K = 4A - 31
We're also given that: K + 5 = 3(A + 5) - 25 =====> K + 5 = 3A + 15 - 25
K = 3A - 15
We then get: 4A - 31 = 3A - 15
4A - 3A = 16
A, or Aaron is: 16 years-old
Kevin is: {{{highlight_green(matrix(1,6, "4(16) - 31,", or, 64 - 31, "=", 33, years-old))}}}