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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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