HARD
10th Manipur Board
IMPORTANT
Earn 100

In a classroom, there are a number of benches. If 4 students sit on each bench, five benches are left vacant; and if 3 students sit on each bench, 4 students are left standing. Find the number of benches and students in the classroom.

Important Questions on Pair of Linear Equations in Two Variables

HARD
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 4 - Pair of Linear Equations in Two Variables>EXERCISE 4.3>Q 21
The sum of a two-digit number and the number obtained by reversing the digits is 110. If the difference of the digits of the number is 4, find the number. How many such numbers are there?
HARD
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 4 - Pair of Linear Equations in Two Variables>EXERCISE 4.3>Q 22
The ratio of incomes of two persons is 9:7 and the ratio of their expenditures is 4:3. If each of them saves ₹2000 per month, find their monthly incomes.
HARD
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 4 - Pair of Linear Equations in Two Variables>EXERCISE 4.3>Q 23
A two-digit number is obtained either by multiplying the sum of the digits by 8 and adding 1, or by multiplying the difference of the digits by 13 and adding 2. Find the number. How many such numbers are there?