Multiple choice

Ratio of age of P and Q is 7 : 5, after 8 years the ratio of age of A becomes 2 times the age of P, 1 years before. What is the present age of Q, if the age of A, 4 years ago was 56 years?

  1. 24 years

  2. 23 years

  3. 22 years

  4. 25 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let P = 7x and Q = 5x based on the 7:5 ratio. A's age 4 years ago was 56, so A's current age is 60. After 8 years, A will be 68. According to the condition, A's age after 8 years (68) equals 2 times P's age 1 year ago (7x - 1). So 68 = 2(7x - 1), giving 7x = 35, so x = 5. Therefore Q's present age = 5x = 25 years.

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