1997 AHSME Problems/Problem 7
Problem
The sum of seven integers is . What is the maximum number of the seven integers that can be larger than ?
Solution
If the first six integers are , the last number can be . The sum of all seven integers will be .
However, if all seven integers are over , the smallest possible sum is .
Thus, the answer is , which is option .
See also
1997 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
All AHSME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.