दो दोस्तों की आयु का अनुपात 4 : 3 है, जो 4 वर्ष बाद 6 : 5 हो जाएगा। अब से 22 वर्ष बाद उनकी आयु का योग (वर्षों में) क्या होगा?

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SSC CGL 2024 Tier-II Official Paper-I (Held On: 20 Jan, 2025)
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  1. 50
  2. 52
  3. 56
  4. 58

Answer (Detailed Solution Below)

Option 4 : 58
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दिया गया है:

दो दोस्तों की आयु का अनुपात 4:3 है, जो 4 वर्ष बाद 6:5 हो जाएगा।

प्रयुक्त सूत्र:

मान लीजिये वर्तमान आयु 4x और 3x है।

गणना:

4 वर्ष बाद, (4x + 4)/(3x + 4) = 6/5

⇒ 5(4x + 4) = 6(3x + 4)

⇒ 20x + 20 = 18x + 24

⇒ x = 2

वर्तमान आयु 4x = 4 × 2 = 8 वर्ष और 3x = 3 × 2 = 6 वर्ष है।

22 वर्ष बाद उनकी आयु का योग = (8 + 22) + (6 + 22)

⇒ 30 + 28 = 58

∴ सही उत्तर विकल्प (4) है।

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