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Question

# Q24. Anshul and his grandfather differ in their ages by 50 years. If the sum of their ages is 152 after 6 years from now, then what are their present ages (in years)? अंशुल और उसके दादा जी की आयु में 50 वर्ष का अंतर है। यदि अब से 6 वर्ष बाद उनकी आयु का योगफल 152 है, तो उनकी वर्तमान आयु (वर्षां में) क्या है?

A

24, 74

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B

26, 76

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C

45, 95

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D

25, 75

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Solution

## The correct option is C 45, 95 Let the present age of Anshul = x years Then, his grandfather’s present age = x + 50 years. After 6 years, age of anshul and his grandfather will become x + 6 and x + 56 respectively. As we know that after 6 years, the sum of their ages is 152, we get: (x + 6) + (x + 56) = 152 ⇒ 2x + 62 = 152 ⇒ 2x = 90 ⇒ x = 45 years. So, the present age of Anshul = 45 years. And his grandfather’s age = 45 + 50 = 95 years. मान की अंशुल की वर्तमान आयु = x वर्ष तब, उसके दादा जी की वर्तमान उम्र = x + 50 वर्ष 6 वर्ष बाद, अंशुल एवं उसके दादा जी की उम्र क्रमशः x + 6 और x + 56 होगी। जैसा कि हम जानते हैं कि 6 वर्ष बाद उनकी उम्र का योग 152 है, हम पाते हैं: (x + 6) + (x + 56) = 152 ⇒ 2x + 62 = 152 ⇒ 2x = 90 ⇒ x = 45 अतः, अंशुल की वर्तमान उम्र = 45 वर्ष और उसके दादा जी की उम्र = 45 + 50 = 95 वर्ष

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