Question

On an algebra test ,the highest grade was 42 points higher than the lowest grade. The sum of the two grades was 138 find the lowest grade

Answer 1

$lowest = x \\ highest = x + 42$
$2x + 42 = 138$
$138 - 42$
$2x = 96$
$2x \div 2x \\ 96 \div 2$
$x = 48$
$48 + 42 = 90$
the lowest grade is 48, while the highest is 90.