SOLUTION: Joe is 10 years older than Bob. In 10 years Bob will be 3/4 as old as Joe. Find their present ages.

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Question 674496: Joe is 10 years older than Bob. In 10 years Bob will be 3/4 as old as Joe. Find their present ages.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +b+ = Bob's age now
+b+%2B+10+ = Joe's age now
+b+%2B+10+ = Bob's age in 10 years
+b+%2B+10+%2B+10+ = Joe's age in 10 years
-----------------
+b+%2B+10+=+%283%2F4%29%2A%28+b+%2B+20+%29+
+4%2A%28+b+%2B+10+%29+=+3%2A%28+b+%2B+20+%29+
+4b+%2B+40+=+3b+%2B+60+
+b+=+20+
+b++%2B+10+=+30+
Bob is 20 and Joe is 30
check:
In 10 years Bob will be 30
In 10 years Joe will be 40
Bob will be 3/4 of 40 which is 30
OK