Problems on Ages practice question for Railways, SSC. Review the correct answer and explanation, then continue with related practice below.
Fourteen years from now, the sum of A's and B's ages will be twice the sum of their current ages. If A is currently 8 years older than B, what is A's present age?
Correct Answerसही उत्तर
D. 18 yearsD. 18 वर्ष
Explanationव्याख्या
Let the present ages of A and B be x and y years respectively.
Since A is 8 years older than B, x − y = 8.
After 14 years, their ages will be x + 14 and y + 14.
According to the question, (x + 14) + (y + 14) = 2(x + y).
Therefore, x + y = 28.
We now have x + y = 28 and x − y = 8.
Adding the equations gives 2x = 36 ⇒ x = 18.
Hence, A's present age is 18 years.
मान लेते हैं कि A और B की वर्तमान आयु क्रमशः x और y वर्ष है।
A, B से 8 वर्ष बड़ा है, इसलिए x − y = 8।
14 वर्ष बाद उनकी आयु x + 14 और y + 14 होगी।
प्रश्नानुसार, (x + 14) + (y + 14) = 2(x + y)।
इससे x + y = 28 प्राप्त होता है।
अब x + y = 28 तथा x − y = 8।
दोनों समीकरणों को जोड़ने पर 2x = 36 ⇒ x = 18।
अतः A की वर्तमान आयु 18 वर्ष है।
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