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Maharashtra State BoardSSC (English Medium) 9th Standard

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

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Question

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

Sum
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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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Properties of Ratio
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Chapter 4: Ratio and Proportion - Practice Set 4.2 [Page 63]

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Balbharati Mathematics 1 [English] Standard 9 Maharashtra State Board
Chapter 4 Ratio and Proportion
Practice Set 4.2 | Q (4) (iv) | Page 63

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