SOLUTION: Fame is 10 years older than EJ. Five years ago, EJ was two years more than 1/4 as old as Fame. What are their present ages?

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Question 253048: Fame is 10 years older than EJ. Five years ago, EJ was two years more than 1/4 as old as Fame. What are their present ages?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
f=e+10
(e-5)=2+1/4(f-5)
simplify before substituting
e-5=2+1/4f-5/4
add 5
e=7-5/4+f/4
e=7-4/4-1/4+f/4
e=6-1/4+f/4
e=5 3/4+f/4
multiply both sides by 4
4e=20+3+f
4e=23+f
substitute e+10 for f
4e=23+e+10
4e=33+e
3e=33
e=11
f=21