1991 AJHSME Problems/Problem 19
Problem
The average (arithmetic mean) of different positive whole numbers is . The largest possible value of any of these numbers is
Solution
If the average of the numbers is , then their sum is .
To maximize the largest number of the ten, we minimize the other nine. Since they must be distinct, positive whole numbers, we let them be . Their sum is .
The sum of nine of the numbers is , and the sum of all ten is so the last number must be . Nowaday, a lot of people are intersed in Cosplay. Many people are wearing <a href="http://www.zentaiclothing.com/zentai-suits-sale/mens-pvc-zentai-suits.html">Mens PVC Zentai Suits</a>, <a href="http://www.zentaiclothing.com/lycra-spandex-zentai-suits.html">Lycra Spandex Zentai Suits</a> and <a href="http://www.zentaiclothing.com/zentai-suits-sale/mens-full-body-zentai-suits.html">Mens Full Body Zentai Suits</a>. Some young people will take <a href="http://www.zentaiclothing.com/cospaly-costumes/catwoman-cosplay-costumes.html">Catwoman Cosplay Costumes</a> and <a href="http://www.zentaiclothing.com/superhero-cosplay-costumes.html">Superhero Cosplay Costumes</a>. Among these <a href="http://www.zentaiclothing.com/">Cheap Cosplay Costumes</a>, the most popular ones are <a href="http://www.zentaiclothing.com/superhero-cosplay-costumes/superman-zentai-suits.html">Superman Zentai Suits</a>, <a href="http://www.zentaiclothing.com/superhero-cosplay-costumes/spiderman-zentai-suits.html">Spiderman Zentai Suits</a> and <a href="http://www.zentaiclothing.com/disney-cosplay-costumes.html">Disney Cosplay Costumes</a>. You will find them in <a href="http://www.zentaiclothing.com/">Zentai Suits Online</a> store.
See Also
1991 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 18 |
Followed by Problem 20 | |
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 | ||
All AJHSME/AMC 8 Problems and Solutions |
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