SOLUTION: Robert is 5 years older than Manuel. Four years ago Manuel's age was three-fourths of Robert's age. Find their ages now.

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Question 891918: Robert is 5 years older than Manuel. Four years ago Manuel's age was three-fourths of Robert's age. Find their ages now.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +m+ = Manuel's age now
+m+%2B+5+ = Robert's age now
----------------------------
+m+-+4+ = Manuel's age four years ago
+m+%2B+5+-+4+ = Robert's age four years ago
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given:
+m+-+4+=+%283%2F4%29%2A%28+m+%2B+5+-+4+%29+
+m+-+4+=+%28+3%2F4+%29%2A%28+m+%2B+1+%29+
+4%2A%28+m+-+4+%29+=+3%2A%28+m+%2B+1+%29+
+4m+-+16+=+3m+%2B+3+
+m+=+19+
and
+m+%2B+5+=+24+
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Manuel is 19 now
Robert is 24 now
-----------------
check:
+m+-+4+=+%28+3%2F4+%29%2A%28+m+%2B+1+%29+
+19+-+4+=+%28+3%2F4+%29%2A%28+19+%2B+1+%29+
+15+=+%283%2F4%29%2A20+
++4%2A15+=+3%2A20+
+60+=+60+
OK