The highest score on an algebra test was 42 points more than the lowest. when added together, the lowest and highest score was 154. find both the highest and lowest score

Let us assume lowest score is = x.

We are given "The highest score on an algebra test was 42 points more than the lowest."

We took x for lowest score.

So, we need to write an expression for highest score in terms of x.

Therefore, the expression for highest score is = 42 more than x = x+42.

Is is also given that sum of both scores is 154.

We can setup and equation by using above statement.

Lowest score + Highest score = Total scrore.

x + x + 42 = 154.

Adding x and x we get 2x.

Therefore,

2x + 42 =154.

Subtracting 42 from both sides, we get

2x + 42-42 =154-42

2x = 112.

Dividing both sides by 2, we get

2x/2 = 112/2

x = 56.

Highest score = 56+42 = 98.

Therefore, highest score is 98 and lowest score is 56.