SOLUTION: Vanessa is 2 times as old as Brandon. 42 years ago, Vanessa was 9 times as old as Brandon. How old is Vanessa now?

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Question 1010456: Vanessa is 2 times as old as Brandon. 42 years ago, Vanessa was 9 times as old as Brandon.
How old is Vanessa now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +v+ = Vanessa's age now
Let +b+ = Brandon's age now
-----------------------------
(1) +v+=+2b+
(2) ++v+-+42+=+9%2A%28+b+-+42+%29+
----------------------------
(2) +v+-+42+=+9b+-+378+
Substitute (1) into (2)
(2) +2b+-+42+=+9b+-+378+
(2) +7b+=+336+
(2) +b+=+48+
and
(1) +v+=+2b+
(1) +v+=+2%2A48+
(1) +v+=+96+
Vanessa is 96
-----------------
check:
(2) ++v+-+42+=+9%2A%28+b+-+42+%29+
(2) +96+-+42+=+9%2A%28+48+-+42+%29+
(2) +54+=+9%2A6+
(2) +54+=+54+
OK