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Question

For two numbers a:b=5:7 with ab=2, then find the numbers.

Solution
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Given,
a:b=5:7
or, ab=57.......(1).
Also given,
ab=2
or, a+2=b......(2).
Using the value of (2) in (1) we get,
aa+2=57
or, 5a+10=7a
or, 2a=10
or, a=5.
Then b=7.

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