Question

Find two numbers such that one of them exceeds the other by 9 and their sum is 81.

Answer 1

Let the smaller number be x. Then the larger number will be x + 9

It is given that the sum of the two numbers is 81.

Hence, the greater number is= 36 + 9 = 45

Alternative method:

Let the two numbers be and.

Adding (1) and (2):

From (1):

Hence, the two numbers are 45 and 36.