अब से सात वर्ष बाद विराट की आयु मोहिंदर की आयु की दोगुनी हो जाएगी। पाँच वर्ष पहले, मोहिंदर की आयु, विराट की आयु के 2/5 से एक वर्ष कम थी। विराट की वर्तमान आयु कितनी है?

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RRB ALP Previous Paper 1 (Held On: 9 Aug 2018 Shift 1)
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  1. 53 वर्ष
  2. 57 वर्ष
  3. 51 वर्ष
  4. 55 वर्ष

Answer (Detailed Solution Below)

Option 4 : 55 वर्ष
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माना कि विराट और मोहिंदर की आयु क्रमशः A और B वर्ष है।

अब से सात वर्ष बाद विराट की आयु ,मोहिंदर से दोगुनी हो जाएगी,

⇒ (A + 7) = 2(B + 7)

⇒ A – 2B = 7

पाँच वर्ष पहले, मोहिंदर की आयु, विराट की आयु के 2/5 से एक वर्ष कम थी,

⇒ (B – 5) = 2/5(A – 5) – 1

⇒(B - 5) = 

⇒ 5B - 25 = 2A - 15

⇒ 2A – 5B = -10

⇒ 2(7 + 2B) – 5B = -10

⇒ B = 24

⇒ A = 7 + 48 = 55

∴ विराट की आयु 55 वर्ष है।

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