SOLUTION: 5 years ago the sum of ages of father and son was 30 and 5 years hence father's ages is 5 yrs more than the double of son's age.find their present ages

Algebra ->  Equations -> SOLUTION: 5 years ago the sum of ages of father and son was 30 and 5 years hence father's ages is 5 yrs more than the double of son's age.find their present ages       Log On


   



Question 1094676: 5 years ago the sum of ages of father and son was 30 and 5 years hence father's ages is 5 yrs more than the double of son's age.find their present ages

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
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(1) +%28+a+-+5+%29+%2B+%28+b+-+5+%29+=+30+
(2) +a+%2B+5+=+2%2A%28+b+%2B+5+%29+%2B+5+
----------------------------------
(1) +a+%2B+b+-+10+=+30+
(1) +a+%2B+b+=+40+
and
(2) +a+%2B+5+=+2b+%2B+10+%2B+5+
(2) +a+-+2b+=+10+
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Subtract (2) from (1)
(1) +a+%2B+b+=+40+
(2) +-a+%2B+2b+=+-10+
--------------------------
+3b+=+30+
+b+=+10+
and
(1) +a+%2B+10+=+40+
(1) +a+=+30+
-----------------------
The father is 30 and the son is 10
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check:
(2) +a+-+2b+=+10+
(2) +30+-+2%2A10+=+10+
(2) +30+-+20+=+10+
(2) +10+=+10+
OK