# The Ratio of Two Numbers is 31 : 23 and Their Sum is 216. Find These Numbers. - Algebra

Sum

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

#### 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.

Concept: Concept of Ratio
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#### APPEARS IN

Balbharati Mathematics 1 Algebra 9th Standard Maharashtra State Board
Chapter 4 Ratio and Proportion
Practice Set 4.2 | Q 4.4 | Page 63