J P Mohindru and Bharat Mohindru Solutions for Chapter: Pair of Linear Equations in Two Variables, Exercise 5: EXERCISE

A two-digit number is such that the product of its digits is $35$. If $18$ is added to the number, the digits interchange their places. Find the number. 

A two-digit number is such that the product of its digits is $18$. When $63$ is subtracted from the number, the digits interchange their places. Find the number.

The sum of the numerator and denominator of a fraction is $12$. If the denominator is increased by $3,$ then the fraction becomes $\frac{1}{2}$. 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.

Seven times a two-digit number is equal to four times the number obtained by reversing the order of its digits. If the difference between their digits is $3$, find the number.

The denominator of a fraction is $4$ more than twice the numerator. When both the numerator and denominator are decreased by $6$, then the denominator becomes $12$ times the numerator. Determine the fraction.

A fraction is such that if the numerator is multiplied by $3$ and the denominator is reduced by $3$, we get $\frac{18}{11}$, but if the numerator is increased by $8$ and the denominator is doubled, we get $\frac{2}{5}$. Find the fraction.

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