SOLUTION: Age Practice Problem Ricardo is 6 years older than Hillary. In 8 years the sum of their ages will be 74. How old is Ricardo now?

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Question 1175131: Age Practice Problem
Ricardo is 6 years older than Hillary. In 8 years the sum of their ages will be 74. How old is Ricardo now?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let Ricardo ‘s age be R and Hillary's age H


if Ricardo is 6+ years older than Hillary, we have
R=H%2B6....eq.1
if in 8 years the sum of their ages will be 74, we have
%28R%2B8%29%2B%28H%2B8%29=74....eq.2......substitute R
H%2B6%2B8%2BH%2B8=74
2H%2B22=74...divide by 2
H%2B11=37
H=37-11
H=26
go to
R=H%2B6....eq.1....substitute H
R=26%2B6
R=32
answer: Ricardo is 32 years old now