Question

Karan scored $2\mathrm{x}$ marks in English and $\mathrm{x}$ marks in Mathematics. His score in Science was $60$. If his total score for the three subjects was $180$, then calculate his score in English.

Answer 1

Find the value of $x$.

Given, marks scored in English $=2\mathrm{x}$

Marks scored in Mathematics $=\mathrm{x}$

Marks scored in Science $=60$

Total score for the three subjects $=180$

That means,

$$\begin{gathered} 2\mathrm{x}+\mathrm{x}+60=180 \\ \Rightarrow 3\mathrm{x}=180-60 \\ \Rightarrow 3\mathrm{x}=120 \\ \Rightarrow \mathrm{x}=\frac{120}{3} \\ \Rightarrow \mathrm{x}=40 \end{gathered}$$

Therefore, marks scored in English $=2\times 40=80$