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Question

If the numerator of a certain fraction is increased by 5 and the denominator is decreased by 1, the resulting fraction is 83. However, if the numerator of the original fraction is doubled and the denominator is increased by 7, the resulting fractions is 611. Find the original fraction.

A
34
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B
14
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C
12
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D
13
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Solution

The correct option is A 34
Let the fraction be xy
From give conditions, x+5y1=83,2xy+7=611
Solving above equations, x=3 and y=4

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