If we add 1tothe numerator and subtract 1fromthe denominator, a fractionreduces to 1. It becomes1/2 if we only add 1 to the denominator.What is the raction?

Form the pair of linear equations in the following problems, and find their solutions

(if they exist) by the elimination method:

(i) If we add 1tothe numerator and subtract 1fromthe denominator, a fractionreduces to 1. It becomes1/2 if we only add 1 to the denominator.What is the fraction?

Let numerator = x

And denominator = y

Fraction  = x/y

If we add 1tothe numerator and subtract 1fromthe denominator, a fractionreduces to 1

Croos multiply we get

X + 1  = y – 1

x- y =  -2         ……..(1)

It becomes1/2 if we only add 1 to the denominator.

Croos multiply we get

2x   = y + 1

2x- y =  1        ……..(2)

x- y =  -2         ……..(1)

Subtracting equation (1) from equation (2) we get

x  = 3

Substituting this value in equation (1) we get

3– y = - 2

- y =  - 5

Y = 5

Hence our fraction is 3/5