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

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<math> 2(S+6) = \textbf{(E) }2S+12 </math>
 
<math> 2(S+6) = \textbf{(E) }2S+12 </math>
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== See Also ==
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{{AMC10 box|year=2001|num-b=2|num-a=4}}

Revision as of 12:17, 16 March 2011

Problem

The sum of two numbers is $S$. Suppose $3$ is added to each number and then each of the resulting numbers is doubled. What is the sum of the final two numbers?

$\mathrm{(A)}\ 2S+3 \qquad\mathrm{(B)}\ 3S+2 \qquad\mathrm{(C)}\ 3S+6 \qquad\mathrm{(D)}\ 2S+6 \qquad\mathrm{(E)}\ 2S+12$

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
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 10 Problems and Solutions