SOLUTION: five years ago i was 5 times older than my son, in 8 years time i will be 3 times older than my son. how old am i today?

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Question 726847: five years ago i was 5 times older than my son, in 8 years time i will be 3 times older than my son. how old am i today?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a = my age today
Let +b+ = my Son's age today
given:
(1) +a+-+5+=+5%2A%28+b+-+5+%29+
(2) +a+%2B+8+=+3%2A%28+b+%2B+8+%29+
-----------------------
(1) +a+-+5+=+5b+-+25+
(1) +a+-+5b+=+-20+
and
(2) +a+%2B+8+=+3b+%2B+24+
(2) +a+-+3b+=+16+
------------------
Subtract (2) from (1)
(1) +a+-+5b+=+-20+
(2) +-a+%2B+3b+=+-16+
+-2b+=+-36+%7D%7D%0D%0A%7B%7B%7B+b+=+18+
and
(2) +a+-+3b+=+16+
(2) +a+-+3%2A18+=+16+
(2) +a+=+16+%2B+54+
(2) +a+=+70+
The Father is 70
check:
(1) +a+-+5+=+5%2A%28+b+-+5+%29+
(1) +70+-+5+=+5%2A%28+18+-+5+%29+
(1) +65+=+5%2A13+
(1) +65+=+65+
OK