Question

Dhoni scores twice as many runs as Sehwag. Together they scored two runs less than double century. How many runs did each of them score?

Answer 1

Hint: We will first consider the runs scored by Sehwag as x, then according to the conditions given in the question, the runs scored by Dhoni will be 2x. We will then use the fact that 1 century means 100 runs and double century means 200 runs. We will then use this to form an equation and solve the question.

Complete step-by-step answer:
In the question, we are given that Dhoni scored twice as many runs as Sehwag. IT is further given that both of them scored two runs less than a double century. Let us consider the runs scored by Sehwag as x. So, according to the conditions that are given to us in the question, Dhoni will be scoring $2\times x$ or $2x$. Now, it is further given in the question that the sum of the runs scored by both the players if two less than a double century. We know that there are 100 runs in a century, so a double century will have $\left( 2\times 100 \right)$ runs or 200 runs. Since together they scored two runs less than a double century, it means that they scored (200 - 2) runs or 198 runs together. Now, as we know that the runs scored by Dhoni and Sehwag are 2x and x respectively, and that the sum of their runs is 198, we can form an equation as follows,
$\begin{align}
  & 2x+x=198 \\
 & \Rightarrow 3x=198 \\
 & \Rightarrow x=\dfrac{198}{3} \\
 & \Rightarrow x=66 \\
\end{align}$
Hence, we get the value of x as 66, which means Sehwag scored 66 runs. So, Dhoni scored $2\times 66=132$ runs.

Note: The students generally don’t know the fact that a century consists of 100 runs, so they won't know that a double century means 200 runs and will not be able to move forward with a simple question like this. Also make sure that you assume Sehwag’s score as x runs and form the right equation. If Dhoni’s score is assumed as x runs, then Sehwag’s would have to be taken as half of x and then proceed with the solution.