Question

What is Arun's present age?
I. Five years ago, Arun's age was double that of his son's age at that time.
II. Present ages of Arun and his son are in the ratio of 11 : 6 respectively.
III. Five years hence, the respective ratio of Arun's age and his son's age will become 12 : 7.

• A. Only I and II
• B. Only II and III
• C. Only I and III
• D. Any two of the three
• E. None of these

Answer 1

The correct option is D Any two of the three

II. Let the present ages of Arun and his son be 11x and 6x years respectively.
I. 5 years ago, Arun's age = 2 $\times$ His son's age.
III. 5 years hence, $\frac{\text{Arun's age}}{\text{Son's age}}=\frac{12}{7}$
Clearly, any two of the above will give Arun's present age.
$\therefore$ Correct answer is (D).