2007 AMC 10A Problem 4

Problem 4 of 25EasierAlgebra

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

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Solution

Let the smaller integer be

x.

Then the larger is

x + 2,

and

x + 2 = 3x,

x = 1.

The two integers are

1

and

3,

and their sum is

4.

Thus, the correct answer is A.

Concepts: linear equation

Problem text and solution from the LIVE past-contest archive. See also the AoPS wiki page for community solutions.