Multiple choice

The present age of a man is twice that of his son.After Eight years their ages will be in the ratio 7:4. Find the son's present age.

  1. $24$years 
  2. $34$years 
  3. $44$years 
  4. $54$years 
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A Correct answer
Explanation

Let son's age be x, man's age be 2x. (2x + 8) / (x + 8) = 7/4. 8x + 32 = 7x + 56. x = 24.

AI explanation

Let the son's present age be x, making the man's age 2x. Eight years later, the ratio equation is (2x + 8) / (x + 8) = 7/4, which cross-multiplies to 8x + 32 = 7x + 56. Solving for x gives the son's present age as 24 years.