Difference between revisions of "1968 AHSME Problems/Problem 14"
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[[Category: Introductory Algebra Problems]] | [[Category: Introductory Algebra Problems]] | ||
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Latest revision as of 01:52, 16 August 2023
Problem
If and
are non-zero numbers such that
and
, then
equals
Solution
We see after multiplying the first equation by , that
Similarly, we see that after multiplying the second equation by , we get that
Thus , giving us our final answer of
~SirAppel
See also
1968 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 13 |
Followed by Problem 15 | |
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 • 31 • 32 • 33 • 34 • 35 | ||
All AHSME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.