SOLUTION: In fifteen years, Nelson will be 6/7 as old as his cousin will be. Today, Nelson is 3/4 as old as his cousin. How old is Nelson now?

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Question 1169078: In fifteen years, Nelson will be 6/7 as old as his cousin will be. Today, Nelson is 3/4 as old as his cousin. How old is Nelson now?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
If using n for Nelson and c for his Cousin, then following the description literally will give you system%28n%2B15=%286%2F7%29%28c%2B15%29%2Cn=%283%2F4%29c%29. Solve the system.

Method to try: Substitute for n in the first equation. Multiply both sides by the lowest common denominator of 4%2A7=28, and simplify. Solve for d, fist and use it to evaluate n.

A few steps of algebra will show you c=20 and highlight%28n=15%29.

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