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

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?

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प्रश्न

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?

बेरीज
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उत्तर

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

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बालभारती Mathematics 1 [English] Standard 9 Maharashtra State Board
पाठ 4 Ratio and Proportion
Practice Set 4.1 | Q (7) | पृष्ठ ६१

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