Problema Solution

A student has two test scores. The difference between the scores is 16

and the​ mean, or​ average, of the scores is 88

.

What are the two test​ scores?

Answer provided by our tutors

Let 'x' and 'y' represent the two test scores.

Since the difference between the scores is 16 we can write:

x - y = 16

The average of the two scores is 88 means:

(x + y )/2 = 88

We have the following system of equations:

x - y = 16

(x + y )/2 = 88

........

click here to see the system of equations solved for x and y

........

x = 96

y = 80

The scores of the two tests are 96 and 80.