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Question

The sum of five consecutive even numbers is 30. What is the sum of the squares of these numbers?

A 200 Correct Answer Incorrect Answer
B 220 Correct Answer Incorrect Answer
C 250 Correct Answer Incorrect Answer
D 280 Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let the first number be x. [if gte msEquation 12]>∴ [if !msEquation]--> [endif]-->`:.` x + x + 2 + x + 4 + x + 6 + x+ 8 = 30 ⇒ 5x + 20 = 30 ⇒ 5x = 30 – 20 ⇒ 5x = 10 [if gte msEquation 12]>∴ [if !msEquation]--> [endif]-->x = 2 Sum of the squares of the numbers = 2² + 4² + 6² + 8² + 10²= 220

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