Multiple choice

If 4 years ago the ratio between the ages of P and Q was (5:6) and the sum of their present age is (52) years. What is the ratio of their present ages?

  1. $6:7$
  2. $5:6$
  3. $7:8$
  4. $4:5$
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A Correct answer
Explanation

Let P's age 4 years ago = 5x and Q's age = 6x. Present ages: P = 5x+4, Q = 6x+4. Sum = 11x+8 = 52, so x=4. Present ages are 24 and 28, giving ratio 6:7. Option 5:6 is the past ratio, not present.