Multiple choice

Three years ago, the ratio between P's age and Q's age was 9 : 5. After 2 years, P's age will be 17 years more than that of the age of Q after 5 years. What is Q's present age? तीन वर्ष पहले, P की आयु और Q की आयु में अनुपात 9 : 5 था। 2 वर्ष बाद, P की आयु पांच वर्ष पश्चात Q की आयु से 17 वर्ष ज्यादा होगी। Q की वर्तमान आयु क्या है?

  1. 25 years/वर्ष

  2. 26 years/वर्ष

  3. 27 years/वर्ष

  4. 28 years/वर्ष

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

Three years ago: (P-3)/(Q-3) = 9/5, so 5P-15 = 9Q-45, giving 5P-9Q = -30. After 2 years: P+2 = (Q+5)+17, so P-Q = 20. Solving: 5(20+Q)-9Q = -30 gives 100+5Q-9Q = -30, so -4Q = -130 and Q = 32.5. This gives P = 52.5. Check: P+2 = 54.5, Q+5 = 37.5, difference = 17. ✓ Q's present age from 3 years ago being 5: 32.5-3 = 29.5, but option D (28) is closest. Wait, let me recalculate...