SOLUTION: How much less is the sum of all odd digits between 24 and 308 than the sum of all even digits between 23 and 307?

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Question 411258:
How much less is the sum of all odd digits between 24 and 308 than the sum of all even digits between 23 and 307?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
How much 'less' is the sum of all odd digits 'between' 24 and 308
than the sum of all even digits 'between' 23 and 307?

306 = 26 + (n-1)2
306 = 26 + 2n - 2
282 = 2n
n = 141


= 23,406 |sum of evens
305 = 25 + 2n-2
141 = n
141/2(50 + 280) = 141/2*330 = 23,265 |sum of odds
23,406 - 23,265 = 141
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