1973 AHSME Problems/Problem 21
Problem
The number of sets of two or more consecutive positive integers whose sum is 100 is
Solution
If the first number of a group of consecutive numbers is , the number is . We know that the sum of the group of numbers is , so We know that and are positive integers, so we check values of that are a factor of . Of these values, the only ones that result in a positive integer is when or when , so there are sets of two or more consecutive positive integers whose sum is .
See Also
1973 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 20 |
Followed by Problem 22 | |
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