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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ९ वी

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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प्रश्न

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.

बेरीज

उत्तर

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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Ratio and Proportion - Practice Set 4.1 [पृष्ठ ६१]

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बालभारती Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board
पाठ 4 Ratio and Proportion
Practice Set 4.1 | Q (6) | पृष्ठ ६१
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