Question

On an Algebra test, the highest grade was 42 points higher than thelowest grade. The sum of the two grades is 138. Find the grades

Answer 1

Let the first grade be x then the next will be x + 42

Given that the sum of the two grades is 138 then

x + x + 42 = 138

2x + 42 = 138

Divide through by 2

x + 21 = 69

x = 69 - 21

x = 48

The second number

= 48 + 42

= 90

Hence the numbers are 48 and 90