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