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?Options5171646165
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?Options5171646165
Solution
To solve this problem, we first need to find the five consecutive odd numbers that add up to 245.
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We know that the sum of five consecutive odd numbers is 245. So, we can write the equation as: 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 get: x = (245 - 20) / 5 = 45. So, the smallest odd number is 45.
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The largest odd number is therefore 45 + 8 = 53.
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The difference between twice the largest odd number and the smallest odd number is: 2*53 - 45 = 61.
So, the correct answer is 61.
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