Track / Stage 4 / 303 of 340 #563 of 2000

Problem 563

AMC 12 late, AIME early

Algebra Difficulty 5.0 Find the answer

In an increasing list of consecutive integers, the $3^{r d}$ and $4^{\text {th }}$ numbers in the list add to 11 . What is the $6^{\text {th }}$ number in the list?
(A) 10
(B) 11
(C) 9
(D) 8
(E) 12

Your answer

Official solution

Since the third and fourth numbers in the list are consecutive and add to 11, then the third number in the list is 5 and the fourth is 6 .

The fifth number in the list is 7 , and so the sixth number in the list is 8 .

ANSWER: (D)

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.