Olympiad Maths Prep

Track / Stage 4 / 183 of 340 #443 of 2000

Problem 443

AMC 12 late, AIME early
Number theory Difficulty 4.8 Find the answer

33. Four consecutive natural numbers a,b,c,da, b, c, d are multiples of 3,4,5,63, 4, 5, 6 respectively (multiples greater than 1), then the minimum value of a+b+c+da+b+c+d is \qquad

Official solution

answer: 258

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