पीटर और प्रीति की आयु के बीच का अंतर 5 वर्ष है। जब उन्होंने 35 वर्ष पहले एक-दूसरे से शादी की, तब पीटर की आयु का 4 गुना प्रीति की आयु के 5 गुना के बराबर था। उनकी वर्तमान आयु का योग क्या है?

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RRB ALP Previous Paper 6 (Held On: 13 Aug 2018 Shift 1)
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  1. 105 वर्ष
  2. 110 वर्ष
  3. 115 वर्ष
  4. 112 वर्ष

Answer (Detailed Solution Below)

Option 3 : 115 वर्ष
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माना पीटर और प्रीति की आयु क्रमशः A और B है।

पीटर और प्रीति की आयु के बीच का अंतर 5 वर्ष है,

⇒ A – B = 5

35 वर्ष पहले, पीटर की आयु का 4 गुना प्रीति की आयु के 5 गुना के बराबर था।

⇒ 4(A – 35) = 5(B – 35)

⇒ 4A – 140 = 5B – 175

⇒ 5B – 4A = 35

हल करने पर,

⇒ 5B – 4(5 + B) = 35

⇒ 5B – 20 – 4B = 35

⇒ B = 55

⇒ A = 60

∴ उनकी वर्तमान आयु का योग = 60 + 55 = 115 वर्ष

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