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?Options6151646571
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?Options6151646571
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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Solving for x, we find that x = 45. So, the five consecutive odd numbers are 45, 47, 49, 51, and 53.
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The problem then asks for the difference between twice the largest odd number and the smallest odd number. So, we calculate 2*53 - 45 = 61.
Therefore, the correct answer is 61.
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