On a science test, the lowest grade was 18 points less than the highest grade. If the sum of the two grades was 172, find both scores.

Question

I need it in how many points the higher grade was and how many points the lower grade was

Answer 1

Hi. Let the lowest grade be x, and the other grade be x + 18. Therefore, 2x + 18 = 172. Subtracting 18 from both sides, we get 2x = 154. Dividing both sides by 2, we obtain 77. Therefore, the lowest grade was 77, the highest grade was 77 + 18 = 95, and 77 + 95 = 172.

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