A आणि B च्या सध्याच्या वयोगटातील गुणोत्तर अनुक्रमे 2 ∶ 3 आहे. 5 वर्षांनंतर, त्यांच्या वयोगटातील गुणोत्तर 3 ∶ 4 होईल. सध्या B चे वय किती आहे?

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 4)
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  1. 20 वर्षे
  2. 15 वर्षे
  3. 10 वर्षे
  4. 25 वर्षे

Answer (Detailed Solution Below)

Option 2 : 15 वर्षे
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Detailed Solution

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दिलेल्याप्रमाणे:

A आणि B च्या सध्याच्या वयोगटातील गुणोत्तर 2 ∶ 3 आहे

5 वर्षांनंतर त्यांच्या वयाचे गुणोत्तर 3 ∶ 4 होईल.

गणना:

A आणि B चे सध्याचे वय 2x आणि 3x असू द्या

प्रश्नानुसार,

\(\frac{2x +5}{3x + 5} = \frac{3}{4}\)

⇒ 8x + 20 = 9x + 15

⇒ 20 - 15 = 9x - 8x

⇒ x = 5

तर, B = 3 × 5 चे सध्याचे वय

⇒ 15 वर्षे

B चे सध्या वय 15 आहे.

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