SOLUTION: today, wendy is twice as old as dave. in ten years the sum of their ages will be equal to fifty years. what was wendy's age five years ago?

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Question 1128040: today, wendy is twice as old as dave. in ten years the sum of their ages will be equal to fifty years. what was wendy's age five years ago?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Wendy's age now
Let +b+ = Dave's age now
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(1) +a+=+2b+
(2) +%28+a+%2B+10+%29+%2B+%28+b+%2B+10+%29+=+50+
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(2) +a+%2B+b+=+30+
Plug (1) into (2)
(2) +2b+%2B+b+=+30+
(2) +3b+=+30+
(2) +b+=+10+
and
(1) +a+=+2%2A10+
(1) +a+=+20+
and five yrs ago,
+a+-+5+=+20+-+5+
+a+-+5+=+15+
She was 15 yrs old 5 yrs ago