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 The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers?

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 The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers?

A). 296

B). 252

C). 344

D). 388


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344



Let the four numbers be x, x + 2, x + 4 and x + 6.

=> x + x + 2 + x + 4 + x + 6 = 36

=> 4x + 12 = 36 => x = 6

The numbers are 6, 8, 10 and 12.

Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.

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