Question

Numerator of a fraction is 2 less than the denominator. If 1 is added to the numerator and 3 to the
denominator then the fraction becomes
2.
Find the original fraction.
3​

Answer 1

Answer:

Let the numerator be x

Denominator = x+2

When 1 is added to Denominator:-

Denominator = x+2+1=x+3

A.T.Q.

(x)/(x+3)=1/2

Cross multiplying

x+3=2x

2x-x=3

x=3

Original Numerator = x = 3

Original Denominator = x+2 = 3+2 = 5

Original fraction = 3/5

Verification:-

Fraction = 3/5

1 is added to the Denominator:-

3/(5+1) = 1/2

3/6 = 1/2

1/2 = 1/2

Hence verified

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