Question

Three good friends are in the same algebra class. Their scores on a recent test are three consecutive even integers whose sum is 270

Answer 1

Let the lowest score be x.

The 3 consecutive even scores are:

1st score = x

2nd score = x + 2

3rd score = x + 4

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Sum of their score is 270:

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

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Solve x:

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

x + x + 2 + x + 4 = 270

3x + 6 = 270

3x = 264

x = 88

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Find their scores:

1st score = x = 88

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

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

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Answer: The scores are 88, 90 and 92