Question

Joe's golf score was 50 more than three tenths of Mike's golf score. If the sum of their scores was 154, what was Joe's score?

Answer 1

 

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!