Maths Olympiad Prep

Track / Stage 4 / 42 of 340 #302 of 1964

Problem 302

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

15. 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. Spacing, $ signs and \frac vs / are all fine.

Official solution

1212

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