Difference between revisions of "2010 UNCO Math Contest II Problems/Problem 3"
(Created page with "== Problem == Suppose <math>r, s</math>, and <math>t</math> are three different positive integers and that their product is <math>48</math>, i.e., <math>rst=48.</math> What is t...") |
(→Solution) |
||
(3 intermediate revisions by 2 users not shown) | |||
Line 6: | Line 6: | ||
== Solution == | == Solution == | ||
+ | The solution rst must factor <math>48=2^{4}\cdot{3}</math> and the numbers must be DISTINCT. <math>3+4+4=11</math> fails the distinct test so <math>2+4+6=12</math> is the solution. | ||
== See also == | == See also == | ||
− | {{ | + | {{UNCO Math Contest box|year=2010|n=II|num-b=2|num-a=4}} |
[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] |
Latest revision as of 02:46, 13 January 2019
Problem
Suppose , and
are three different positive integers and that their product is
, i.e.,
What is the smallest possible value of the sum
?
Solution
The solution rst must factor and the numbers must be DISTINCT.
fails the distinct test so
is the solution.
See also
2010 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |