SOLUTION: A year ago, Jean was three times as old as Midhun. A year later he was twice as old as Midhun. How old are Jean and Midhun?

Algebra ->  Linear-equations -> SOLUTION: A year ago, Jean was three times as old as Midhun. A year later he was twice as old as Midhun. How old are Jean and Midhun?      Log On


   



Question 1012354: A year ago, Jean was three times as old as Midhun. A year later he was twice as old as Midhun. How old are Jean and Midhun?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Jean's age now
Let +b+ = Midhun's age now
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(1) +a+-+1+=+3%2A%28+b+-+1+%29+
(2) +a+=+2b+
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Substitute (2) into (1)
(1) +2b+-+1+=+3%2A%28+b+-+1+%29+
(1) +2b+-+1+=+3b+-+3+
(1) +b+=+2+
and
(2) +a+=+2b+
(2) +a+=+4+
Jean is 4
Midhun is 2
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check:
(1) +a+-+1+=+3%2A%28+b+-+1+%29+
(1) 4+-+1+=+3%2A%28+2+-+1+%29+
(1) +3+=+3+
OK