Question

Rick received better results for his Maths test than for his English test. If the sum of his two marks is 163 and the difference is 31, find the mark for each subject.

Answer 1

97 on maths, 66 on English

Answer 2

Math = 97

English = 66

Explanation:

Let the score of the Math test be x, and the score of the English text be y

Then we have the two equations

`x+y = 163\\x-y = 31`

To solve for x and y there are multiple ways, one of the easy ways is just to add the two equations together because that would cancel out the y:

`x + x + y -y = 163 +31\\2x = 194\\x = 97\\`

Then using the x, we can find y by doing

`x+y = 163\\97 + y = 163\\(97 + y) - 97 = (163) - 97\\y = 66`

Therefore, we have a math score of 97, and an English score of 66.