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Maharashtra State BoardSSC (English Medium) 9th Standard

The Ratio of Ages of Abha and Her Mother is 2 : 5. at the Time of Abha'S Birth Her Mothers Age Was 27 Year. Find the Present Ages of Abha and Her Mother. - Algebra

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Question

The ratio of ages of Abha and her mother is 2 : 5. At the time of Abha's birth her mothers age was 27 year. Find the present ages of Abha and her mother.

Sum
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Solution

The ratio of the present ages of Abha and her mother is 2 : 5.

Let the present age of Abha and her mother be 2x years and 5x years, respectively.

∴ Abha's mother age at the time of Abha's birth = 5x − 2x = 3x years

It is given that at the time of Abha's birth her mothers age was 27 year.

∴ 3x = 27

⇒ x = 9

∴ Present age of Abha = 2x = 2 × 9 = 18 years

Present age of Abha's mother = 5x = 5 × 9 = 45 years

Thus, the present age of Abha and her mother is 18 years and 45 years, respectively.

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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 (6) | Page 61

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