Question 687602: three good friends are in the same algebra class their scores on a recent test are three consecutive even integers whose sum is 216.find each score
Found 2 solutions by Alan3354, josh_jordan:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! three good friends are in the same algebra class their scores on a recent test are three consecutive even integers whose sum is 216.find each score
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216/3 = 72, the middle score
Answer by josh_jordan(263)  (Show Source):
You can put this solution on YOUR website! To find each test score, let's turn this word problem into an equation. We know that all of the test scores are even numbers. We also know that when we add 2 to an even number, we get the next even number, and when we add 4 to the original even number, we get the next consecutive even number. In other words,
x + x + 2 + x + 4, where x represents the first unknown even number. We will set this equal to 216, since we know that the sum is 216:
x + x + 2 + x + 4 = 216
Then, we will combine the x's together and the numbers together on the left side of our equal sign, giving us
3x + 6 = 216
Now, subtract 6 from both sides of the equal sign. This will give us
3x = 210
Divide both sides by 3, which will give us our first test score:
x = 70
Finally, to find the other test scores, add 2 to 70, which will give us our second test score: 72. Then, add 4 to 70, which will give us our final test score: 74
Test Scores: 70, 72, 74
Validate by adding all three numbers together. 70 + 72 + 74 = 216
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