SOLUTION: two years ago, homer was 23 years older than his son andrew. twelve years from now his age will be 6 more than twice his son's age, then what are the ages of homer and andrew at th

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Question 488223: two years ago, homer was 23 years older than his son andrew. twelve years from now his age will be 6 more than twice his son's age, then what are the ages of homer and andrew at the present?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let h = Homer's age now
Let a = Andrew's age now
given:
(1) +h-2+=+a+-+2+%2B+23+
(2) +h+%2B+12+=+2%2A%28a+%2B+12%29+%2B+6+
---------------
(1) +h+-+a+=+23+
(2) +h+%2B+12+=+2a+%2B+24++%2B+6+
(2) +h+-+2a+=+30+-+12+
(2) +h+-+2a+=+18+
---------------
Subtract (2) from (1)
(1) +h+-+a+=+23+
(2) +-h+%2B+2a+=+-18+
+a+=+5+
and, since
(2) +h+-+2a+=+18+
(2) +h+-+10+=+18+
(2) +h+=+28+
Homer is 28 and his son is 5
check:
(2) +h+%2B+12+=+2%2A%28a+%2B+12%29+%2B+6+
(2) +28+%2B+12+=+2%2A%285+%2B+12%29+%2B+6+
(2) +40+=+2%2A17+%2B+6+
(2) +40+=+34+%2B+6+
(2) +40+=+40+
OK