Question

Runs scored by Girishin a match are 10 more than the balls faced by Vishal. The number of balls faced by Girishis 5 more than the number of runs scored by Vishal. Together they have scored 50 runs and Girishhas faced 15 balls less than that faced by Vishal. What is the number of runs scored by Girish ?

1. 30
2. 20
3. 40
4. 50

Answer 1

$$\begin{gathered} DearStudent, \\ \mathrm{Suppose}\mathrm{Balls}\mathrm{faced}\mathrm{by}\mathrm{vishal}=\mathrm{x} \\ \mathrm{Runs}\mathrm{scored}\mathrm{by}\mathrm{vishal}=\mathrm{y} \\ \mathrm{ATQ}, \\ \mathrm{Runs}\mathrm{scored}\mathrm{by}\mathrm{girish}=\mathrm{x}+10 \\ \mathrm{Balls}\mathrm{faced}\mathrm{by}\mathrm{girish}=\mathrm{y}+5 \\ \mathrm{Together}\mathrm{they}\mathrm{have}\mathrm{scored}50\mathrm{runs}, \\ \mathrm{Therefore},\mathrm{y}+\mathrm{x}+10=50 \\ \Rightarrow \mathrm{x}+\mathrm{y}=40.....\left(1\right) \\ \mathrm{Also},\mathrm{Girish}\mathrm{has}\mathrm{faced}15\mathrm{balls}\mathrm{less}\mathrm{than}\mathrm{that}\mathrm{faced}\mathrm{by}\mathrm{Vishal} \\ \mathrm{Therefore},\mathrm{y}+5=\mathrm{x}-15 \\ \Rightarrow \mathrm{x}-\mathrm{y}=20....\left(2\right) \\ \mathrm{Solve}\mathrm{equation}\left(1\right)\mathrm{and}\left(2\right), \\ \mathrm{x}+\mathrm{y}=40 \\ \underline{\mathrm{x}-\mathrm{y}=20} \\ 2\mathrm{x}=60 \\ \Rightarrow \mathrm{x}=30 \\ \mathrm{Hence},\mathrm{runs}\mathrm{scored}\mathrm{by}\mathrm{girish}=\mathrm{x}+10=30+10=40 \end{gathered}$$