Question

You have a total of $18$ math and science exercises for homework.

You have six more math exercises than science exercises.

How many exercises do you have in each subject?

Answer 1

Finding number of exercises:

Consider number of math exercises $=m$

And number of science exercise $=s$

There are total $18$ exercises

$\therefore m+s=18...\left(i\right)$

Now according to the question

There are six more math exercises than science exercises

$$\begin{gathered} \therefore m=s+6 \\ \Rightarrow m-s=6...\left(ii\right) \end{gathered}$$

Solving equations $\left(i\right)\&\left(ii\right)$

$$\begin{gathered} \frac{m+s=18 \\ +m-s=6}{2m=24} \\ \Rightarrow m=12 \\ \therefore s=6\left[from\left(i\right)\right] \end{gathered}$$

Hence, there are $12$ math exercise and $6$ science exercise.