SOLUTION: today a man is 5 times the age of his son. in 15 years, the son will be 1/2 his fathers age. how old are they now?

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Question 465452: today a man is 5 times the age of his son. in 15 years, the son will be 1/2 his fathers age. how old are they now?
Found 3 solutions by jorel1380, robertb, josmiceli:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
m=5s
m+15=2(s+15)
5s+15=2s+30
3s=15
s=5
The son is 5. The man is 25..

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
%285s+%2B+15%29%2F2+=+s+%2B+15+
==> 5s + 15 = 2s + 30
==> 5s - 2s = 30 - 15
==> 3s = 15
==> s = 5, the son's age now,
==> 5s = 25, the man's age now.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = Father's age now
Let b = Son's age now
given:
(1) +a+=+5b+
(2) +b+%2B+15+=+%281%2F2%29%2A%28+a+%2B+15+%29+
-----------------------
(2) +2%2A%28b+%2B+15%29+=+a+%2B+15+
(2) +2b+%2B+30+=+a+%2B+15+
(2) +a+-+2b+=+15+
Substitute (1) into (2)
(2) +5b+-+2b+=+15+
(2) +3b+=+15+
(2) +b+=+5+
and
(1) +a+=+5b+
(1) +a+=+25+
25 is the Father's age now
5 is the Son's age now
check:
(2) +b+%2B+15+=+%281%2F2%29%2A%28+a+%2B+15+%29+
(2) +5+%2B+15+=+%281%2F2%29%2A%28+25+%2B+15+%29+
(2) +20+=+%281%2F2%29%2A40+
(2) +40+=+40+
OK