Question

The sum of two numbers is 137 and their difference is 43. Find the numbers.

Answer 1

Let the larger number be x and the smaller number be y.

Then, we have:

x + y = 137   ...(i)

x – y = 43   ...(ii)

On adding (i) and (ii), we get

2x = 180

⇒ x = 90

On substituting x = 90 in (i), we get

90 + y = 137

⇒ y = (137 – 90)

⇒ y = 47

Hence, the required numbers are 90 and 47.