what is the average of the consecutive numbers between 1 to 59
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Answer:Let us assume, five consecutive odd numbers are 2n - 3, 2n - 1, 2n + 1, 2n + 3, 2n + 5 for any postive integer n
Given: The average = (2n-3 + 2n - 1 + 2n + 1 + 2n + 3 + 2n + 5) / 5 = 59
Therefore, 10n + 5 = 59 * 5
10n = 295 - 5
10n = 290
n = 290/10 = 29
Therefore, the five consecutive odd numbers are
2n - 3 = 2 * 29 - 3 = 55
Thus, the odd numbers are 55, 57, 59, 61 and 63
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