SOLUTION: 5 years ago Daniel was older than Alex by 2 times. Now, both ages together adds up to 14. How old are both people?

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Question 888999: 5 years ago Daniel was older than Alex by 2 times. Now, both ages together adds up to 14. How old are both people?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = Daniel's age now
Let +a+ = Alex's age now
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(1) +d+-+5+=+2%2A%28+a+-+5+%29+
(2) +d+%2B+a+=+14+
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(2) +d+=+14+-+a+
Plug this into (1)
(1) +14+-+a+-+5+=+2%2A%28+a+-+5+%29+
(1) +9+-+a+=+2a+-+10+
(1) +3a+=+19+
(1) +a+=+19%2F3+
and, since
(2) +d+=+14+-+a+
(2) +d+=+14+-+19%2F3+
(2) +d+=+42%2F3+-+19%2F3+
(2) +d+=+23%2F3+
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Daniel is 7 yrs 8 months
Alex is 6 yrs 4 months
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check answer:
(1) +d+-+5+=+2%2A%28+a+-+5+%29+
(1) +23%2F3+-+5+=+2%2A%28+19%2F3+-+5+%29+
(1) +23%2F3+-+15%2F3+=+2%2A%28+19%2F3+-+15%2F3+%29+
(1) +8%2F3+=+2%2A%28+4%2F3+%29+
(1) +8%2F3+=+8%2F3+
OK
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The answers are strange- not whole numbers.
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