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Maharashtra State BoardSSC (English Medium) 9th Standard

Present Ages of Vatsala and Sara Are 14 Years and 10 Years Respectively. After How Many Years the Ratio of Their Ages Will Become 5 : 4? - Algebra

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Question

Present ages of Vatsala and Sara are 14 years and 10 years respectively. After how many years the ratio of their ages will become 5 : 4?

Sum
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Solution

Let after x years, the ratio of their ages will become 5 : 4.

Age of Vatsala after x years = (14 + x) years

Age of Sara after x years = (10 + x) years

∴ `(14+x) / (10+x) = 5/4`

⇒ 56 + 4x = 50 + 5x

⇒ 5x - 4x = 56 - 50

⇒ x = 6

Thus, the ratio of their ages will become 5 : 4 after 6 years.

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Properties of Ratio
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Chapter 4: Ratio and Proportion - Practice Set 4.1 [Page 61]

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Balbharati Mathematics 1 [English] Standard 9 Maharashtra State Board
Chapter 4 Ratio and Proportion
Practice Set 4.1 | Q (7) | Page 61

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