Select the correct answerThe sum of five consecutive odd numbers is equal to 245.what is the difference between twice the largest odd number and the smallest odd number?
Question
Select the correct answerThe sum of five consecutive odd numbers is equal to 245.what is the difference between twice the largest odd number and the smallest odd number?
Solution
To solve this problem, we first need to find the five consecutive odd numbers.
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We know that the sum of these five numbers is 245. So, we can set up the equation: x + (x+2) + (x+4) + (x+6) + (x+8) = 245, where x is the smallest odd number.
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Simplifying the equation, we get 5x + 20 = 245.
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Subtract 20 from both sides to get 5x = 225.
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Divide both sides by 5 to solve for x. We get x = 45. So, the smallest odd number is 45.
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The largest odd number would then be 45 + 8 = 53.
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The difference between twice the largest odd number and the smallest odd number is 2*53 - 45 = 106 - 45 = 61.
So, the answer is 61.
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