Multiple choice

Present ages of P and Q are in the ratio 5: 6 respectively. Sixteen years later, this ratio becomes 7: 8. What is the respective ratio of age of P 10 years ago to the age of Q 8 years ago?

  1. 4: 5

  2. 3: 4

  3. 5: 7

  4. 2: 3

  5. 3: 5

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

Let P=5x and Q=6x be present ages. After 16 years: (5x+16)/(6x+16)=7/8. Cross-multiply: 40x+128=42x+112. Solving gives 2x=16, so x=8. Present ages: P=40, Q=48. P 10 years ago=30, Q 8 years ago=40. Ratio=30:40=3:4. Option B is correct.