Difference between revisions of "2016 AMC 10A Problems/Problem 14"
(Created page with "==Solution== The amount of twos in our sum ranges from <math>0</math> to <math>1008</math>, with differences of <math>3</math> because <math>2 \cdot 3 = lcm(2, 3)</math>. Th...") |
(→Solution) |
||
| Line 3: | Line 3: | ||
The amount of twos in our sum ranges from <math>0</math> to <math>1008</math>, with differences of <math>3</math> because <math>2 \cdot 3 = lcm(2, 3)</math>. | The amount of twos in our sum ranges from <math>0</math> to <math>1008</math>, with differences of <math>3</math> because <math>2 \cdot 3 = lcm(2, 3)</math>. | ||
| − | The possible amount of twos is <math>\frac{1008 - 0}{2} + 1 \ | + | The possible amount of twos is <math>\frac{1008 - 0}{2} + 1 \Rightarrow \boxed{\textbf{(B)} 337</math> |
Revision as of 17:57, 3 February 2016
Solution
The amount of twos in our sum ranges from 
to 
, with differences of 
because 
.
The possible amount of twos is $\frac{1008 - 0}{2} + 1 \Rightarrow \boxed{\textbf{(B)} 337$ (Error compiling LaTeX. Unknown error_msg)
