2007 AMC 12A Problem 3

Attempt Problem 3 of the 2007 AMC 12A below, then check your answer against the professionally curated solution 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.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

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

4

8

12

16

20

Let the smaller odd integer be

x,

so the larger is

x+2

Solve

x+2=3x,

then add the two integers

Let the smaller integer be

x.

Then the larger is

x+2.

x+2=3x,

which gives

x=1.

The two integers are

1

and

3,

and their sum is

4.

Thus, the correct answer is A.

Problem 3 in other years