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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?

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1 year

2 years

25 years

Data inadequate

answer is D.

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Detailed Solution

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) = 2 Q

Now given that,

(R + T) = 50

So,

50 = 2 Q

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.
Correct option is 4.

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