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| == Problem ==
| | #redirect [[2001 AMC 12 Problems/Problem 1]] |
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| 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?
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| <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>
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| == Solution ==
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| The sum of the two numbers is <math> S </math>. If <math> 3 </math> is added to each number, then you basically added <math> 6 </math> to <math> S </math>.
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| When you double the resulting expression,
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| <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}}
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