SOLUTION: Jonny is thrice as old as Awa. Five years ago, he was five times as old as Awa. When will the sum of their ages be 80?

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Question 826579: Jonny is thrice as old as Awa. Five years ago, he was five times as old as Awa. When will the sum of their ages be 80?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
j for jonny, and w for awa.

j=3w
and
%28j-5%29=5%28w-5%29.

Before answering the question of when the sum of their ages be 80, first solve the system for j and w. Once found those values, assign a different variable to use in representing their age at the later unknown time, and form their sum, and equate to 80; and then solve this equation for the new variable.

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