A और B की वर्तमान आयु का अनुपात क्रमशः 2 ∶ 3 है। 5 वर्ष बाद उनकी आयु का अनुपात 3 ∶ 4 होगा। वर्तमान में B की आयु कितनी है?

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

Answer (Detailed Solution Below)

Option 2 : 15 वर्ष
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Detailed Solution

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दिया गया है:

A और B की वर्तमान आयु का अनुपात 2 ∶ 3 है।

5 वर्ष बाद उनकी आयु का अनुपात 3 ∶ 4 होगा।

गणना:

मान लीजिए A और B की वर्तमान आयु 2x और 3x है।

प्रश्न के अनुसार,

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

⇒ 8x + 20 = 9x + 15

⇒ 20 - 15 = 9x - 8x

⇒ x = 5

इसलिए, B की वर्तमान आयु = 3 × 5

⇒ 15 वर्ष

B की वर्तमान आयु 15 वर्ष है।

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