SOLUTION: John is now 3 times as old as his brother Sam. In 5 years, John will be twice as old as Sam will be then. Find their present ages. :)

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Question 1029440: John is now 3 times as old as his brother Sam. In 5 years, John will be twice as old as Sam will be then. Find their present ages.
:)

Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
John is now 3 times as old as his brother Sam. In 5 years, John will be twice as old as Sam will be then. Find their present ages.
------------
In 5 years, the ratio changes from 3x to 2x.
3x - 2x = 5 years
--> 15 & 5

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +j+ = John's age now
Let +s+ = Sam's age now
------------------------
(1) +j+=+3s+
(2) +j+%2B+5+=+2%2A%28+s+%2B+5+%29+
------------------------
(2) +j+%2B+5+=+2s+%2B+10+
Substitute (1) into (2)
(2) +3s+%2B+5+=+2s+%2B+10+
(2) +s+=+5+
and
(1) +j+=+3s+
(1) +j+=+3%2A5+
(1) +j+=+15+
John is 15 and Sam is 5
-------------------
check:
(2) +j+%2B+5+=+2%2A%28+s+%2B+5+%29+
(2) +15+%2B+5+=+2%2A%28+5+%2B+5+%29+
(2) +20+=+2%2A10+
(2) +20+=+20+
OK