SOLUTION: Fame is 10 yrs. older than EJ. Five years ago, EJ was two years more than one fourth as old as Fame. What are their present ages?

Question 349592: Fame is 10 yrs. older than EJ. Five years ago, EJ was two years more than one fourth as old as Fame. What are their present ages?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Fame is 10 yrs. older than EJ. Five years ago, EJ was two years more than one fourth as old as Fame. What are their present ages?
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Equations:
f = e + 10
(e-5) = (1/4)(f-5)+2
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Substitute for "f" and solve for "e":
e-5 = (1/4)(e+10-5)+2
e-5 = (1/4)(e+5)+2
Multiply thru by 4 to get:
4e-20 = e+5+8
3e = 33
e = 11 yrs old (EJ's age now)
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Since f = e+10, f = 21 yrs old (Fame's age now)
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Cheers,
Stan H.
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