Difference between revisions of "2023 AMC 12A Problems/Problem 10"
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[[Category:Rate Problems]] | [[Category:Rate Problems]] | ||
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Revision as of 20:13, 9 November 2023
Problem
Positive real numbers and
satisfy
and
. What is
?
Solution
Because , set
,
(
). Put them in
we get
which implies
. Solve the equation to get
or
. Since
and
are positive,
and
.
~plasta
See also
2023 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by [[2023 AMC 12A Problems/Problem {{{num-b}}}|Problem {{{num-b}}}]] |
Followed by Problem 11 |
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 AMC 12 Problems and Solutions |
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