# Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.

**Solution:**

Assume any one number to be a variable and form a linear equation by using the relationships between the two numbers mentioned in the problem statement.

Let one of the numbers be x.

Then the other number is 95 - x.

If we assume x to be larger among two of them,

⇒ x - (95 - x) = 15 (as one exceeds the other by 15)

⇒ 2x = 15 + 95

⇒ x = 110 / 2 = 55

The other number is (95 - x) which is 95 - 55 = 40

Thus, the two numbers are 40 and 55.

**Video Solution:**

## Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.

### NCERT Solutions Class 8 Maths - Chapter 2 Exercise 2.2 Question 4

**Summary:**

If the sum of two numbers is 95 and if one exceeds the other by 15, the numbers are 40 and 55.