Difference between revisions of "2001 AMC 10 Problems/Problem 3"

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== Problem ==
 
 
The sum of two numbers is <math> S </math>. Suppose <math> 3 </math> is added to each number and then each of the resulting numbers is doubled. What is the sum of the final two numbers?
 
 
<math> \mathrm{(A)}\ 2S+3 \qquad\mathrm{(B)}\ 3S+2 \qquad\mathrm{(C)}\ 3S+6 \qquad\mathrm{(D)}\ 2S+6 \qquad\mathrm{(E)}\ 2S+12 </math>
 
 
 
== Solution ==
 
== Solution ==
  

Revision as of 16:00, 16 March 2011

Solution

The sum of the two numbers is $S$. If $3$ is added to each number, then you basically added $6$ to $S$.

When you double the resulting expression,

$2(S+6) = \textbf{(E) }2S+12$

See Also

2001 AMC 10 (ProblemsAnswer KeyResources)
Preceded by
Problem 2
Followed by
Problem 4
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All AMC 10 Problems and Solutions