SOLUTION: Matt is 51 years younger than Sarah. 6 years ago, Sarah's age was 4 times Matt's age. How old is Matt now?

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Question 792364: Matt is 51 years younger than Sarah. 6 years ago, Sarah's age was 4 times Matt's age. How old is Matt now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +m+ = Matt's age now
Let +s+ = Sarah's age now
------------------------
(1) +m+=+s+-+51+
(2) +s+-+6+=+4%2A%28+m+-6+%29+
-----------------------
(1) +s+=+m+%2B+51+
Substitute (1) into (2)
(2) +m+%2B+51+-+6+=+4%2A%28+m+-+6+%29+
(2) +m+%2B+45+=+4m+-+24+
(2) +3m+=+69+
(2) +m+=+23+
and
(1) +s+=+m+%2B+51+
(1) +s+=+23+%2B+51+
(1) +s+=+74+
Matt is 23 now
-------------
check:
(2) +s+-+6+=+4%2A%28+m+-6+%29+
(2) +74+-+6+=+4%2A%28+23+-6+%29+
(2) +68+=+4%2A17+
(2) +68+=+68+
OK