2001 AMC 12 Problem 1

Problem 1 of 25EasierAlgebra

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?

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Solution

Adding

3

to each number raises the sum from

S

S + 6.

Doubling each number doubles the sum, giving

2(S + 6) = 2S + 12.

Thus, the correct answer is E.

Concepts: algebraic manipulation · distributive property

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