Olympiad Maths Prep

Track / Stage 4 / 19 of 340 #279 of 2000

Problem 279

AMC 12 late, AIME early
Number theory Difficulty 4.5 Find the answer

When a certain number is divided by 9 , the quotient is 6 and the remainder is 4 . The number is
(A) 58
(B) 42
(C) 33
(D) 67
(E) 49

Official solution

Solution

The number is 9×6+4=589 \times 6+4=58.

ANSWER: (A)

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