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The denominator of a fraction is greater than its numerator by 12, if the numerator is decreased by 2 and the denominator is increased by 7, the new fraction is equivalent with . Find the fraction.

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answer is A.

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Detailed Solution

Concept: In this problem, the numerator of the fraction should be considered as x Fractional denominator as y Then apply the specified condition to the fraction to get the value of x and y
Let the numerator of the fraction

Then denominator

So, fraction will be

New fraction:
numerator

denominator

So, fraction will be

So, old fraction is

and new fraction is,

Hence, option 1 is correct.

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