SOLUTION: The sum of the ages of Shaun and Rachel is 73 years ,8 years ago ,Shauns age was 2 times Rachel s age .How old is Shaun

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Question 1153656: The sum of the ages of Shaun and Rachel is 73 years ,8 years ago ,Shauns age was 2 times Rachel s age .How old is Shaun
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
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let Shaun's age be x and Rachel's age y
if the sum of the ages of Shaun and Rachel is 73 years, we have
x%2By=73......solve for x
x=73-y.....eq.1
if 8 years ago, Shaun's age was 2 times Rachel's age, we have
x-8=2%28y-8%29..........solve for x
x-8=2y-16
x=2y-16%2B8
x=2y-8......eq.2
from eq.1 and eq.2 we have
73-y=2y-8......solve for y
73%2B8=2y%2By
81=3y
y=81%2F3
y=27
go to
x=73-y.....eq.1, plug in y
x=73-27
x=46

answer: Shaun is 46 years old

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The sum of the ages of Shaun and Rachel is 73 years ,8 years ago ,Shauns age was 2 times Rachel s age .How old is Shaun 
Let Shaun's age be S

Then Rachel's is: 73 - S

We then get: S - 8 = 2(73 - S - 8)

S - 8 = 2(65 - S)

S - 8 = 130 - 2S

S + 2S = 130 + 8

3S = 138

S, or