Q4 of 59 Page 63

The ratio of two numbers is 31 : 23 and their sum is 216. Find these numbers.

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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