The highest score on an Algebra test was was 42 points more than the lowest. When added together, the lowest and highest score was 154. Find the high and low sc

Question

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.

Answer 1

Hello Lindsey

 

Let H = the highest score and L = the lowest score.

 

Eq 1) H = 42 + L

 

Eq 2) H + L = 154

 

Substitute Eq 1 into Eq 2, you get

 

42 + L + L = 154

 

42 + 2L = 154

 

2L = 154 - 42

 

2L = 112

 

L = 112 / 2 = 56 (lowest score)

 

 

Eq 1) H = 42 + L

 

           = 42 + 56 = 98 (highest score)

 

To confirm, H + L = 154

 

98 + 56 = 154!