SOLUTION: please help me solve this age word problem: seven years ago, i was eleven times as old as my daughter. Now I am four times as old as she is.

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Question 712031: please help me solve this age word problem: seven years ago, i was eleven times as old as my daughter. Now I am four times as old as she is.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = your age now
Let +b+ = your Daughter's age now
+a+-+7+ = your age 7 years ago
+b+-+7+ = your Daughter's age 7 years ago
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given:
(1) +a+-+7+=+11%2A%28+b+-+7+%29+
(2) +a+=+4b+
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(1) +a+-+7+=+11b+-+77+
Substitute (2) into (1)
(1) +4b+-+7+=+11b+-+77+
(1) +7b+=+77+-+7+
(1) +7b+=+70+
(1) +b+=+10+
and, since
(2) +a+=+4b+
(2) +a+=+4%2A10+
(2) +a+=+40+
You are 40 and your Daughter is 10
check answer:
(1) +a+-+7+=+11%2A%28+b+-+7+%29+
(1) +40+-+7+=+11%2A%28+10+-+7+%29+
(1) +33+=+11%2A3+
(1) +33+=+33+
OK