Question

The ratio of runs between Dhoni and Sachin in one day cricket match was $18:17$. If Sachin scored $102$runs, how many runs did Dhoni score?

Answer 1

Let the runs scored by Dhoni be $x$, Then the ratio of runs between Dhoni and Sachin was $x:102$

It is given that ratio between runs scored by Dhoni and Sachin was $18:17$

So, Both the ratio must be equal.

Then, $$\begin{gathered} \Rightarrow x:102=18:17 \\ \Rightarrow \frac{x}{102}=\frac{18}{17} \\ \Rightarrow x=\frac{18\times 102}{17} \\ \Rightarrow x=18\times 6 \\ \Rightarrow x=108 \end{gathered}$$

Hence, The runs scored by Dhoni was 108.