SOLUTION: Rover Boy was 5 years older than Yolanda. In 10 years he found that 4 times his age exceeded twice Yolanda's age by 50. How old were Rover Boy and Yolanda in the beginning?

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Question 334110: Rover Boy was 5 years older than Yolanda. In 10 years he found that 4 times his age exceeded twice Yolanda's age by 50. How old were Rover Boy and Yolanda in the beginning?
Answer by stanbon(75887) About Me  (Show Source):
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Rover Boy was 5 years older than Yolanda. In 10 years he found that 4 times his age exceeded twice Yolanda's age by 50. How old were Rover Boy and Yolanda in the beginning?
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Equations:
R = y+5
4(R+10)= 2(y+10)+ 50
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Substitute for "R" and solve for "y":
4(y+5+10) = 2y+70
4(y+15) = 2y+70
4y+60 = 2y+70
2y = 10
Yolanda's age now is 5 yrs.
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Since R = y+5, Rover Boy's age is 10 yrs.
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Cheers,
Stan H.