Question

Harish scored twice as many runs as Rahul. Together their runs fell $2$ short of a double century. How many runs did each score ?

Answer 1

Step 1: To find out the runs scored by Rahul

Let Rahul score $x$ runs

So, score of Harish will be $2x$

Given that score of Harish and Rahul fell $2$ short of double century ($200$ runs).

$$\begin{gathered} \Rightarrow x+2x=200-2 \\ 3x=198 \\ x=\frac{198}{3}\Rightarrow 66 \end{gathered}$$

Now, runs scored by Rahul $\Rightarrow x=66$

Step 2: To find out the runs scored by Harish

runs scored by Harish $\Rightarrow 2x=$ $2\times 66$

$=132$

Hence, Score of Rahul and Harish is $66$ runs and $132$runs respectively.