Question
The sum of four consecutive even numbers is 108. What is
the sum of the squares of these numbers?ÂSolution
Let the consecutive even number be x, x + 2, x + 4 and x + 6 Now, x + x + 2 + x + 4 + x + 6 = 108 4 x + 12 = 108 4 x = 96 x = 24 Now, Numbers are 24, 26, 28 and 30 Required sum = 24² + 26² + 28² + 30² = 576 + 676 + 784 + 900 = 2936
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