Question

Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?

• A. 1 year
• B. 2 years
• C. 25 years
• D. Data inadequate
• E. None of these

Answer 1

Answer: (D)

Data inadequate

1. The difference of age between R and Q = The difference of age between Q and T
2. Sum of age of R and T is 50 i.e. (R + T) = 50
Question : R - Q = ?
Explanation
$R-Q=Q-T$
$(R+T)=2Q$
Now given that, $(R+T)=50$
So, $50=2Q$ and therefore $Q=25$
Question is (R - Q) =?
Here we know the value (age) of Q (25), but we don't know the age of R.
Therefore, (R - Q) cannot be determined.