R. D. Sharma Solutions for Chapter: Pair of Linear Equations in Two Variables, Exercise 8: EXERCISE 3.8

If we add $1$ to the numerator and subtract $1$ from the denominator, a fraction becomes $1$. It also becomes $1/2$ if we only add $1$ to the denominator. What is the fraction?

The sum of the numerator and denominator of a fraction is $12$. If the denominator is increased by $3$, the fraction becomes $1/2$. Find the fraction.

When $3$ is added to the denominator and $2$ is subtracted from the numerator a fraction becomes $1/4$. And when $6$ is added to numerator and the denominator is multiplied by $3$, it becomes $2/3$, Find the fraction.

The sum of a numerator and denominator of a fraction is $18$. If the denominator is increased by $2$, the fraction reduces to $\frac{1}{3}$. Find the fraction.

If $2$ is added to the numerator of a fraction, it reduces to $1/2$ and if $1$ is subtracted from the denominator, it reduces to $1/3$ Find the fraction.

The sum of the numerator and denominator of a fraction is $4$ more than twice the numerator. If the numerator and denominator are increased by $3$, they are in the ratio $2 : 3$. Determine the fraction.

If the numerator of a fraction is multiplied by $2$ and the denominator is reduced by $5$ the fraction becomes $6/5$. And, if the denominator is doubled and the numerator is increased by $8$, the fraction becomes $2/5$. Find the fraction.

The sum of the numerator and denominator of a fraction is $3$ less than twice the denominator. If the numerator and denominator are decreased by $1$, the numerator becomes half the denominator. Determine the fraction.