Question

In a fraction , twice the numerator is 2 more than the denominator. If 3 is added to both
numerator and denominator, the new fraction is 2
3
. Find the original fraction. (7/12)

Answer 1

Answer:

Step-by-step explanation:

let the numerator be x

denominator = 2x-2

3 is added :-

Numerator= x+3

Denominator= 2x-2+3

=2x+1

x+3/2x+1=2/3

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

3x+9=4x+2

3x-4x=2-9

-x=-7

x=7

Original Numerator = x = 7

Original Denominator = 2x-2

= 2×7-2

= 14-2

= 12

Original Fraction = 7/12

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