1983 AHSME Problems/Problem 13
Revision as of 16:55, 16 June 2021 by Purplepenguin2 (talk | contribs)
Contents
[hide]Problem
If and , and none of these quantities is , then equals
Solution
From the equations, we deduce and . Substituting these into the expression thus gives , so the answer is .
Solution 2
is , is , and is , so is
-purplepenguin2
See Also
1983 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 12 |
Followed by Problem 14 | |
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.