1999 AHSME Problems/Problem 3
Contents
[hide]Problem
The number halfway between and is
Solutions
Solution 1
To find the number halfway between and , simply take the arithmetic mean, which is
Thus the answer is choice
Solution 2
Note that and . Thus, the answer must be greater than .
Answers , , and are all less than , so they can be eliminated.
Answer is equivalent to , which is away from , and is away from . These distances are not equal, eliminating .
Thus, must be the answer. Computing as a check, we see that it is away from , and similarly it is away from .
See Also
1999 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
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