## ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Check Your Progress

Question 1.

Solve the following equations :

(i) 2 (x – 5) + 3 (x – 2) = 8 + 7 (x – 4)

Solution:

Question 2.

A number exceeds its three-fifth by 22. Find the number.

Solution:

Question 3.

When 9 is added to twice a number, the result is 3 more than thrice the number. Find the number.

Solution:

Question 4.

The ten’s digit of a two digit number is twice the unit’s digit. The sum of the number and its unit’s digit is 66. Find the number.

Solution:

Question 5.

A student bought some pens at ₹ 8 each and some pencils at ₹ 1.50 each. If the total number of pens and pencils purchased is 16 and their total cost is ₹ 50, how many pens did he buy?

Solution:

Question 6.

Arvind is eight years older than his sister. In three years, he will be twice as old as his sister. How old are they now?

Solution:

Question 7.

The angles of a triangle are in the ratio 1 : 2 : 3. Find their measure in degrees.

Solution:

Question 8.

Solve the following inequations and represent their solution on a number line:

Solution: