Question

On an algebra test , the highest grade was 50 points higher than the lowest the sum of the two grades was 122 find the lowest grade .
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Answer 1

Answer:

Highest grade: 86

Lowest grade: 36

Step-by-step explanation:

Let the highest grade be h, lowest grade be l.

$h = 50 + l \\ \\ h + l = 122 \\ h = 122 - l$

Therefore,

$122 - l \: = 50 + l \\ 2l \: = 72 \\ l = 36 \\ \\ h = 36 + 50 = 86$