SOLUTION: A car's odometer shows 82,928 km, a palindromic number. What are the minimum kilometers you would need to travel to form another?
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Question 1075142: A car's odometer shows 82,928 km, a palindromic number. What are the minimum kilometers you would need to travel to form another?
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
Because the odometer will only show increasing numbers, plus we need the number to end with 8, we know the number will have the form: 8xxx8. Now 3 is the next inner number since 82928 will roll over to 83xxx, so we have 83x38. Finally, making the middle number 0 minimizes the number of km needed: 83038.
So to get to the next palindromic number, which is 83038, one would need to drive 83038km - 82928km = .
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