R. D. Sharma Solutions for Chapter: Pair of Linear Equations in Two Variables, Exercise 7: EXERCISE 3.7

A two-digit number is $4$ more than $6$ times the sum of its digits. If $18$ is subtracted from the number, the digits are reversed. Find the number.

 A two-digit number is $4$ times the sum of its digits and twice the product of the digits. Find the number.

A two-digit number is such that the product of its digits is $20$. If $9$ is added to the number, the digits interchange their places. Find the number.

The difference between the two numbers is $26$ and one number is three times the other. Find them.

The sum of the digits of a two-digit number is $9$. Also, nine times this number is twice the number obtained by reversing the order of the digits. Find the number.

Seven times a two-digit number is equal to four times the number obtained by reversing the digits. If the difference between the digits is $3$. Find the number.

Two numbers are in the ratio $5 : 6$. If $8$ is subtracted from each of the numbers, the ratio becomes $4 : 5$. Find the numbers.

A two-digit number is obtained by either multiplying the sum of the digits by $8$ and then subtracting $5$ or by multiplying the difference of the digits by $16$ and then adding $3$. Find the number.