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సూరజ్ తన కొడుకు అర్జున్ కన్నా మూడు రెట్లు పెద్దవాడు. 8 ఏళ్ల తర్వాత, అతను అర్జున్ వయస్సు కన్నా రెండున్నర రెట్లు పెద్దవాడిగా ఉంటాడు. మరో 8 ఏళ్ల తర్వాత, అతను అర్జున్ వయస్సు కన్నా _____ రెట్లు పెద్దగా ఉంటాడు.

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RRC Group D Previous Paper 3 (Held On: 19 Sep 2018 Shift 1)
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  1. 2
  2. \(2\frac{1}{2}\)
  3. 3
  4. \(2\frac{1}{5}\)

Answer (Detailed Solution Below)

Option 4 : \(2\frac{1}{5}\)
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Detailed Solution

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సూరజ్ వయస్సు x సంవత్సరాలు మరియు అర్జున్ వయస్సు y సంవత్సరాలు అనుకుందాం.

⇒ x = 3y       ----(1)

8 ఏళ్ల తర్వాత,

⇒ x + 8 = (5/2) (y + 8)       ----(2)

(1) మరియు (2)సమీకరణాలని పరిష్కరిస్తే, మనకి వస్తుంది:

⇒ x = 72 మరియు y = 24

∴ ఆపై మరో 8 ఏళ్ళ తర్వాత, సూరజ్ వయస్సు = (72 + 8 + 8) = 88 సంవత్సరాలు

అర్జున్ వయస్సు = (24 + 8 + 8) = 40 సంవత్సరాలు

∴మరో 8 ఏళ్ళ తర్వాత, సూరజ్, అర్జున్ కన్నా 
\(2\frac{1}{5}\) రెట్లు వయస్సులో పెద్దవాడిగా ఉంటాడు.
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