Question

The numerator of a fraction is 3 less than denominator. If 2 is added to both numerator as well as denominator, then sum of the new and original fraction is 29/30. Find the fraction.​

Answer 1

Answer:

numerator = x-3

denominator = x

x-3/x

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When 2 is added

Now

numerator = x-3+2

denominator = x+2

fraction obtained is 29/30

numerator = x-1

denominator = x+2

x-1/x+2 = 29/30

cross multiply

29(x+2) = 30(x-1)

29x+58 = 30x-30

58+30=30x-29x

88=x

Denominator = 88

Numerator = 85