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 $50years$, what is the difference between $R$ and $Q$'s age?

Answer 1

Given that

Let the ages of Q, R and T are $Q,R$ and $T$ respectively

The difference of ages between R and Q$=$ The difference of ages between Q and T

$\Rightarrow R-Q=Q-T$

$\Rightarrow R+T=2Q$ $.....................\left(1\right)$

The sum of the age of R and T is $50$

$\Rightarrow R+T=50$ $.......................\left(2\right)$

From equation $\left(1\right)$and $\left(2\right)$

$$\begin{gathered} \Rightarrow 2Q=50 \\ \Rightarrow Q=25 \end{gathered}$$

Here we found the age of $Q=25years$, but it's not possible to find the age of $R$ and $T$

Therefore, $(R–Q)$cannot be determined as the given data is inadequate