Select the correct answerThe sum of five consecutive even numbers is equal to 260. what is the sum of the largest number amongst them and the half the square of the smallest numbers amongst them?Options13461288120816441274
Question
Select the correct answerThe sum of five consecutive even numbers is equal to 260. what is the sum of the largest number amongst them and the half the square of the smallest numbers amongst them?Options13461288120816441274
Solution
To solve this problem, we first need to find the five consecutive even numbers.
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We know that the sum of five consecutive even numbers is 260. So, we can set up the equation: 5x = 260 (where x is the middle number of the five consecutive numbers). Solving for x gives us x = 52.
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The five consecutive even numbers are therefore: 48, 50, 52, 54, 56.
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The largest number among them is 56 and the smallest is 48.
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Half the square of the smallest number is (48^2)/2 = 1152/2 = 576.
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The sum of the largest number and half the square of the smallest number is 56 + 576 = 632.
So, none of the options provided (1346, 1288, 1208, 1644, 1274) are correct. The correct answer is 632.
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