Maths Olympiad Prep

Track / Stage 4 / 223 of 340 #483 of 1964

Problem 483

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

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. Fractions can be typed as 3/2, and spacing doesn't matter.

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Official solution

answer: 54,22

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.