Question

In a fraction, twice the numerator is 2 more than the denominator. If 3 is added to the numerator and to the denominator, the new fraction is 2/3. Find the original fraction.
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Answer 1

Answer:

Let the numerator be x and denominator be y.

ATQ,

2x=2+y

y=2x-2  (1)

Also,  

x+3/y+3= 2/3

x+3/2x-2+3 =2/3  (from (1))

Cross multiplying both sides, we get

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

3x+9=4x+2

9-2=4x-3x

7=x

y= 2x-2= 2*7-2=14-2

y=12

Fraction=7/12

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