आजपासून सात वर्षांनी विराटचे वय मोहिंदरपेक्षा दुप्पट असेल. पाच वर्षांपूर्वी मोहिंदरचे वय विराटच्या वयाच्या 2/5 पेक्षा एक वर्ष कमी होते. विराटचे सध्याचे वय किती आहे?

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

Answer (Detailed Solution Below)

Option 4 : 55 वर्षे
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Detailed Solution

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विराट आणि मोहिंदर यांचे वय अनुक्रमे A आणि B वर्षे मानू.

आजपासून सात वर्षांनी विराटचे वय मोहिंदरपेक्षा दुप्पट होईल.

⇒ (A + 7) = 2(B + 7)

⇒ A – 2B = 7

पाच वर्षांपूर्वी, मोहिंदरचे वय विराटच्या वयाच्या 2/5 पेक्षा एक वर्ष कमी होते,

⇒ (B – 5) = 2/5(A – 5) – 1

⇒ 2A – 5B = -10

⇒ 2(7 + 2B) – 5B = -10

⇒ B = 24

⇒ A = 7 + 48 = 55

∴ विराटचे वय 55 वर्ष आहे.

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