Difference between revisions of "2010 AMC 8 Problems/Problem 2"
(Created page with "==Problem== If <math>a @ b = \frac{a\times b}{a+b}</math> for <math>a,b</math> positive integers, then what is <math>5 @10</math>? <math>\textbf{(A)}\ \frac{3}{10} \qquad\textb...") |
|||
| Line 13: | Line 13: | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2010|num-b=1|num-a=3}} | {{AMC8 box|year=2010|num-b=1|num-a=3}} | ||
| + | {{MAA Notice}} | ||
Revision as of 00:50, 5 July 2013
Problem
If
for
positive integers, then what is
?
Solution
Substitute
and
into the expression for
to get:
Thus, answer choice
is correct.
See Also
| 2010 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 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 AJHSME/AMC 8 Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions.