SOLUTION: The sum of a man's age and the son five years ago was 62 and the man was five times older than the son. how old is the man and the son.

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Question 1017933: The sum of a man's age and the son five years ago was 62 and the man was five times older than the son. how old is the man and the son.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the man's age now
Let +b+ = the son's age now
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(1) +a+-+5+%2B+b+-+5+=+62+
(2) +a+-+5+=+5%2A%28+b+-+5+%29+
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(1) +a+%2B+b+=+72+
and
(2) +a+-+5+=+5b+-+25+
(2) +-a+%2B+5b+=+20+
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Add the equations
(1) +a+%2B+b+=+72+
(2) +-a+%2B+5b+=+20+
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+6b+=+92+
+b+=+46%2F3+
and
(1) +a+%2B+b+=+72+
(1) +a+%2B+46%2F3+=+216%2F3+
(1) +a+=+170%2F3+
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You can do the divisions