Question

A family has only one kid. The father says, “After ‘n’ years, my age will be 4 times the age of my kid.” The mother says, “After ‘n’ years, my age will be 3 times that of my kid.” What will be the combined ages of the parents after ‘n’ years?
Statement A
A. The age difference between the parents is 10 years.

Statement B
B. After ‘n’ years the kid is going to be twice as old as she is now.

• A. Statement A alone is sufficient but not Statement B.
• B. Statement B alone is sufficient but not Statement A
• C. Either Statement A or Statement B alone is sufficient.
• D. Both statements together are necessary but not by either statement alone.

Hint:

In age-related problems, using known age differences or the child’s future age is often sufficient to deduce the ages of the parents.

Answer 1

The Correct Option is C

Statement A gives us the age difference between the parents, which helps us find their individual ages after \( n \) years. Statement B tells us that the kid will be twice as old as she is now after \( n \) years, which provides the kid's age. With either statement alone, we can calculate the combined ages of the parents after \( n \) years. \[ \boxed{3} \]