Maths Olympiad Prep

Track / Stage 4 / 74 of 340 #334 of 1964

Problem 334

AMC 12 late, AIME early
Algebra Difficulty 4.6 Find the answer

Integers x,yx, y satisfy (2x+3)(y4)=9(2 x+3)(y-4)=9, then the maximum value of x+yx+y is

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

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Official solution

1212

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