SOLUTION: William is six years older than Robert. In two years, William will be twice as old as Robert. Find their ages.

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Question 261267: William is six years older than Robert. In two years, William will be twice as old as Robert. Find their ages.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let w = William's age now
Let r = Robert's age now
In 2 years, William's age will be
w+%2B+2
In 2 years, Robert's's age will be
r+%2B+2
-----------------------------------------
given:
(1) w+=+r+%2B+6
(2) w+%2B+2+=+2%2A%28r+%2B+2%29
-----------------------
Substitute (1) in (2)
r+%2B+6+%2B+2+=+2%2A%28r+%2B+2%29
r+%2B+8+=+2r+%2B+4
r+=+8+-+4
r+=+4
And, since
w+=+r+%2B+6
w+=+4+%2B+6
w+=+10
William is 10 and Robert is 4