MEDIUM
10th CBSE
IMPORTANT
Earn 100

Find two numbers such that the sum of twice the first and thrice the second is 92, and four times the first exceeds seven times the second by 2.

Important Questions on Linear Equations in Two Variables

MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>Exercise 3E>Q 6
Find the numbers such that the sum of thrice the first and the second is142, and four times the first exceeds the second by138.
EASY
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>Exercise 3E>Q 7
If 45 is subtracted from twice the greater of two numbers, it results in the other number. If 21 is subtracted from twice the smaller number, it results in the greater number. Find the numbers.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>Exercise 3E>Q 8
If three times the larger of two numbers is divided by the smaller, we get 4 as the quotient and 8 as the remainder. If five times the smaller is divided by the larger, we get 3 as the quotient and 5 as the remainder. Find the larger number.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>Exercise 3E>Q 9
If 2 is added to each of two given numbers, their ratio becomes 1:2. However, if 4 is subtracted from each of the given numbers, the ratio becomes 5:11. Find the numbers.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>Exercise 3E>Q 10
The difference between two numbers is 14 and the difference between their squares is 448. Find the numbers.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>Exercise 3E>Q 11
The sum of the digits of a two-digit number is 12. The number obtained by interchanging its digits exceeds the given number by 18. Find the number.
HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>Exercise 3E>Q 12
A number consisting of two digits is seven times the sum of its digits. When 27 is subtracted from the number, the digits are reversed. Find the number.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>Exercise 3E>Q 13
The sum of the digits of a two-digit number is 15. The number obtained by interchanging the digits exceeds the given number by 9. Find the number.