Question

In a fraction if numerator is decreased by 30% and again increased by 7 1/7 %.Similarly if denominator is increased by 20% and again increased by 12.5%,then resultant fraction becomes 25/63.By how much percentage denominator is greater than numerator ?​

Answer 1

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Question

If the numerator of a fraction is increased by 2 and denominator is decreased by 1, it becomes 2/3. If the numerator is increased by 1 and denominator is increased by 2, it becomes 1/3 . Find the fraction.

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Solution

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Let the numerator and denominator a fraction be x and y respectively.

According to the question,

y−1x+2=32

3x−2y=−8....(1)

And,

y+2x+1=31

3x−2y=−1....(2)

Now subtracting,

3x−y=−1....(2)

3x−2y=−8...(1)

−++

_____________

y=7

From (1),

3x−2(7)=−8

3x=−8+14

x=2