The numerator of a fraction is 3 less than the denominator. If 2 is added to both the numerator and the denominator, then the sum of the new fraction and the original fraction is $$\dfrac{29}{20}$$ Find the original fraction.

Asked by Sakshi | 9 months ago |  114

##### Solution :-

Let the denominator be x.

Therefore numerator=x-3

After adding 2 to both the numerator and denominator,

New numerator=x-3+2=x-1

New denominator=x+2.
$$x= \dfrac{-12}{11}$$

Thus if $$\dfrac{-12}{11}$$

If x=10

Then the fraction= $$\dfrac{7}{10}$$

Thus the original fraction is $$\dfrac{7}{10}$$

Answered by Sakshi | 9 months ago

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