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 .

Respuesta :

Answer:

Highest grade: 86

Lowest grade: 36

Step-by-step explanation:

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

[tex]h = 50 + l \\ \\ h + l = 122 \\ h = 122 - l \\ \\ [/tex]

Therefore,

[tex]122 - l \: = 50 + l \\ 2l \: = 72 \\ l = 36 \\ \\ h = 36 + 50 = 86[/tex]