Question

The difference between two numbers is 15. Taking the smaller number as x; find:

(i) the expression for the larger number.

(ii) the larger number, if the sum of these numbers is 71.

Answer 1

Difference of two numbers = 15

Let smaller number = x

∴ Second number = x + 15

∴ Larger number = x + 15

If sum of two numbers = 71

Then x + x + 15 = 71

(i) 2x + 15 = 71

⇒ 2x = 71 - 15 = 56

x = `56/2 = 28`

(ii) Larger number = x + 15 = 28 + 15 = 43