Multiple choice

The present age of Suresh is twice his daughter's. Six years hence the ratio between the age of Suresh and his daughter will be $23 : 13$. What is the present age of Suresh?

  1. $40$ years
  2. $36$ years
  3. $46$ years

  4. Cannot be determined
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let daughter's age be x, so Suresh is 2x. Six years later, (2x+6)/(x+6) = 23/13. Solving 13(2x+6) = 23(x+6) gives 26x + 78 = 23x + 138, so 3x = 60, x = 20. Suresh's age is 2x = 40.

AI explanation

Let Suresh's present age be 2x and his daughter's age be x. Six years hence, their ages will be 2x + 6 and x + 6, giving the proportion (2x + 6) / (x + 6) = 23 / 13. Cross-multiplying yields 13(2x + 6) = 23(x + 6), which simplifies to 26x + 78 = 23x + 138, meaning 3x = 60 and x = 20. Suresh's present age is 2 multiplied by 20, which is 40 years.

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