Question

Two numbers are in the ratio 11 : 12 and their sum is 460. Find the numbers.

Answer 1

Two numbers are in the ratio 11:12.
Let the numbers be 11x and 12x.
Given: 11x + 12x = 460
⇒ 23x = 460
⇒ x =`460/23` = 20

First number = 11x = 11 × 20 = 220
Second number = 12x = 12 × 20 = 240
Hence, the numbers are 220 and 240.