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Question
The ratio of two numbers is 31 : 23 and their sum is 216. Find these numbers.
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Solution
Let the two numbers be 31x and 23x.
Sum of the two numbers = 216
∴ 31x + 23x = 216
⇒ 54x = 216
⇒ x = `216/54` = 4
∴ One number = 31x = 31 × 4 = 124
Other number = 23x = 23 × 4 = 92
Thus, the two numbers are 92 and 124.
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