1991 AJHSME Problems/Problem 11
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Problem
There are several sets of three different numbers whose sum is which can be chosen from . How many of these sets contain a ?
Solution
Let the three-element set be and suppose that .
We need and . This gives us four solutions, so there are sets with a also with the desired properties .
See Also
1991 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 10 |
Followed by Problem 12 | |
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All AJHSME/AMC 8 Problems and Solutions |
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