SOLUTION: Seven years ago, I was eleven times as old as my daughter. Now I am four times as old as she is. My age is ____.

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Question 572722: Seven years ago, I was eleven times as old as my daughter. Now I am four times as old as she is. My age is ____.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = my age now
Let +b+ = my Daughter's age now
+a+-+7+ = my age 7 yrs ago
+b+-+7+ = my Daughter's age 7 yrs ago
---------------------------------------------
(1) +a+-+7+=+11%2A%28+b+-+7+%29+
(2) +a+=+4b+
------------------
Substitute (2) into (1)
(1) +4b+-+7+=+11%2A%28+b+-+7+%29+
(1) +4b+-+7+=+11b+-+77+
(1) +7b+=+70+
(1) +b+=+10+
and
(2) +a+=+4b+
(2) +a+=+4%2A10+
(2) +a+=+40+
My age is 40
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