Question

The sum of six consecutive even numbers is 78. What is the sum of the squares of these numbers?

A 1084 Correct Answer Incorrect Answer
B 1060 Correct Answer Incorrect Answer
C 1020 Correct Answer Incorrect Answer
D 1050 Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let the first number be x x + x  + 2 + x  + 4 + x  + 6 + x  + 8 + x  + 10 = 78 ⇒ 6  x + 30 = 78 ⇒ 6  x = 78 – 30 ⇒   6  x = 48 ⇒    x = 8 Sum of the squares of the numbers = 8² + 10² + 12² + 14² + 16² + 18² = 1084

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