Multiple choice

A persons present age is two-seventh of the age of his mother. After 10 years he will be four-ninth of the age of his mother. How old is the mother after 15 years? एक व्यक्ति का वर्तमान आयु उसकी माता की वर्तमान आयु का दो-सातवाँ है| 10 वर्ष बाद अपनी माँ की आयु का चार-नौवां हो जाएगा| 15 वर्ष पश्चात उसकी माँ की आयु कितनी होगी?

  1. 50

  2. 35

  3. 45

  4. 60

  5. None of these इनमे से कोई नही

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A Correct answer
Explanation

Let the mother's current age be M. Then the person's current age is (2/7)M. After 10 years, (2/7)M + 10 = (4/9)(M + 10). Solving: 18M + 630 = 28M + 280, so 10M = 350 and M = 35. After 15 years, the mother's age = 35 + 15 = 50 years.