Question

Sum of two numbers is 105 and their difference is 45. Find the numbers.

Answer 1

Given: Let the two numbers be x and y.

x + y = 105 and x – y = 45.

Add the two equations:

(x + y) + (x – y) = 105 + 45 

⇒ 2x = 150

⇒ x = 75

Substitute x = 75 into x + y = 105

⇒ 75 + y = 105

⇒ y = 30

The numbers are 75 and 30.