Answer :

Let a and b be two numbers.

Given that a:b = 31:23

Sum of a and b = a + b = 216

Let the first number ‘a’ = 31x

Then the second number ‘b’ = 23x

Consider a + b = 216

⇒ 31x + 23x = 216

⇒ 54x = 216

⇒ x = 216/54 = 4

∴ The first number ‘a’ = 31x = 31 × 4 = 124

The second number ‘b’ = 23x = 23 × 4 = 92

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