Difference between revisions of "1993 UNCO Math Contest II Problems/Problem 5"
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A collection of <math>25</math> consecutive positive integers adds to <math>1000.</math> What are the smallest and largest integers in this collection? | A collection of <math>25</math> consecutive positive integers adds to <math>1000.</math> What are the smallest and largest integers in this collection? | ||
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== Solution == | == Solution == |
Latest revision as of 20:39, 5 August 2020
Problem
A collection of consecutive positive integers adds to What are the smallest and largest integers in this collection?
Solution
The thirteenth integer is the average, which is . So, the largest integer is 12 larger, which is , and the smallest integer is 12 less, which is .
See also
1993 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
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 |