Multiple choice

'X' is twice as old as 'Y' 3 years ago, when 'X' was as old as 'Y' today . If the difference between their ages at present is 3 years, how old is 'X' at present? 'X' की उम्र उस उम्र से दुगुनी हैं जो 'Y' की तीन वर्ष पूर्व थी, जब 'X' की उम्र 'Y' की वर्तमान उम्र के बराबर थी। यदि वर्तमान में उनकी उम्रों का अन्तर 3 वर्ष है, तो X की उम्र वर्तमान में कितनी है?

  1. 18 years/वर्ष

  2. 12 years/वर्ष

  3. 9 years/वर्ष

  4. 8 years/वर्ष

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let X's present age = x, Y's present age = y. Given: x - y = 3. Also: 'X is twice as old as Y 3 years ago, when X was as old as Y today' means: x - 3 = 2(y - 3) when x - 3 = y. So y = x - 3. Substituting: x - (x-3) = 3, which is consistent. From x - 3 = 2(y - 3): x - 3 = 2(x-3-3) = 2(x-6) = 2x - 12. So x - 3 = 2x - 12, giving x = 9. Wait, this doesn't match option B (12). Let me re-interpret.