Discussion :: Problems on Ages

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?
Answer : Option D
Explanation :
Given that:
1. The difference of age b/w R and Q = The difference of age b/w 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, (RQ) cannot be determined.
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