Three good friends are in the same algebra class. Their scores on a recent test are three consecutive even integers whose sum is

Question

3 years ago

9

270

1 answer:

klio [65] · Answer 1 · 2022-08-29T13:22:52+03:00

Let the lowest score be x.

The 3 consecutive even scores are:

1st score = x

2nd score = x + 2

3rd score = x + 4

-

Sum of their score is 270:

x + (x + 2) + (x + 4) = 270

-

Solve x:

x + (x + 2) + (x + 4) = 270

x + x + 2 + x + 4 = 270

3x + 6 = 270

3x = 264

x = 88

-

Find their scores:

1st score = x = 88

2nd score = x + 2 = 88 + 2 = 90

3rd score = x + 4 = 88 + 4 = 92

-

Answer: The scores are 88, 90 and 92