2013 AMC 12B Problem 1

Attempt Problem 1 of the 2013 AMC 12B 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 2013 AMC 12B solutions, or check the answer key.

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

On a particular January day, the high temperature in Lincoln, Nebraska, was

16

degrees higher than the low temperature, and the average of the high and low temperatures was

3^\circ.

In degrees, what was the low temperature in Lincoln that day?

-13

-8

-5

-3

11

The high and low differ by

16,

so each is

8

away from their average

The low temperature is

8

below the average of

3

The high exceeds the low by

16,

so the low is

8

below the average. Since the average is

3^\circ,

the low temperature is

3 - 8 = -5^\circ.

Thus, the correct answer is C.

Problem 1 in other years