Question

The ratio of runs scored by Sachin and Virat in one-day cricket match is $5:7$. If Virat scored $77$ runs, find the sum of runs scored by both.

Answer 1

Given that,

ratio of runs scored by Sachin and Virat in one-day cricket match $=$ $5:7$

Total run scored by Virat $=$$77$

Assume total run scored by Sachin and Virat together $=$ $x$

Runs contributed by Virat $=$$\frac{7}{5+7}\times totalrun$

Therefore,

$$\begin{gathered} \frac{7}{5+7}\times x=77 \\ \frac{7}{12}\times x=77 \\ x=\frac{77\times 12}{7}=132 \end{gathered}$$

Hence, Sum of runs scored by both is $132$