1993 UNCO Math Contest II Problems/Problem 5

Revision as of 14:33, 30 December 2014 by Pi3point14 (talk | contribs) (Solution)

Problem

A collection of $25$ consecutive positive integers adds to $1000.$ What are the smallest and largest integers in this collection?


Solution

To find the middle integer, we divide 1000 by 25 to get 40. We have found one number, so we know there are 24 more. We found the middle integer, so we know to find the largest and smallest we must add or subtract 24/2=12. Adding 12 gives us the largest is 52, and subtracting gives us the smallest is 28.

See also

1993 UNCO Math Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 4
Followed by
Problem 6
1 2 3 4 5 6 7 8 9 10
All UNCO Math Contest Problems and Solutions
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