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2001 AMC 12 Problem 1

Problem 1 of 25EasierAlgebraArithmetic

The sum of two numbers is S.S. Suppose 33 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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Solution

Adding 33 to each number raises the sum from SS to S+6.S + 6. Doubling each number doubles the sum, giving 2(S+6)=2S+12. 2(S + 6) = 2S + 12. Thus, the correct answer is E.
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Tagged: algebraic manipulation · distributive property

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