Question 687602
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