Maths Olympiad Prep

Track / Stage 4 / 207 of 340 #467 of 1964

Problem 467

AMC 12 late, AIME early
Number theory Difficulty 4.9 Find the answer

79. Children's Day is here, and the Elf Prince has prepared gifts for the classmates. If 2 gifts are placed in each box, there will be 10 gifts left over; if 3 gifts are placed in each box, there will be 4 boxes left over. Therefore, the Elf Prince has prepared \qquad gifts and \qquad boxes.

A number or a short expression. Spacing, $ signs and \frac vs / are all fine.

Official solution

answer: 54,22

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