2007 AMC 12A Problem 3

Below is the professionally curated solution for Problem 3 of the 2007 AMC 12A, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2007 AMC 12A solutions, or check the answer key.

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Concepts:linear equation

Difficulty rating: 890

3.

The larger of two consecutive odd integers is three times the smaller. What is their sum?

44

88

1212

1616

2020

Solution:

Let the smaller integer be x.x. Then the larger is x+2.x+2.

So x+2=3x,x+2=3x, which gives x=1.x=1.

The two integers are 11 and 3,3, and their sum is 4.4.

Thus, the correct answer is A.

Problem 3 in Other Years