SOLUTION: Kevin is two years younger than Ed,who is two-thirds plus six years as old as Bob,who is five times as old as a quater of Kevin's age.How old will Bob be in ten years.

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Question 514361: Kevin is two years younger than Ed,who is two-thirds plus six years as old as Bob,who is five times as old as a quater of Kevin's age.How old will Bob be in ten years.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let k = Kevin's age now
Let e = Ed's age now
Let b = Bob's age now
given:
(1) +k+=+e+-+2+
(2) +e+=+%282%2F3%29%2Ab+%2B+6+
(3) +b+=+5%2A%281%2F4%29%2Ak+
-----------------
This is 3 equations and 3 unknowns, so it
should be solvable
(1) +e+=+k+%2B+2+
By substitution:
(2) +k+%2B+2+=+%282%2F3%29%2Ab+%2B+6+
(2) +3k+%2B+6+=+2b+%2B+18+
(2) +2b+=+3k+-+12+
(2) +b+=+%283%2F2%29%2Ak+-+6+
By substitution:
(3) +%283%2F2%29%2Ak+-+6+=+%285%2F4%29%2Ak+
Multiply both sides by 4
(3) +6k+-+24+=+5k+
(3) +k+=+24+
and
(1) +e+=+k+%2B+2+
(1) +e+=+24+%2B+2+
(1) +e+=+26+
and
(2) +b+=+%283%2F2%29%2Ak+-+6+
(2) +b+=+%283%2F2%29%2A24+-+6+
(2) +b+=+30+
Kevin is 24
Ed is 26
Bob is 30