One number is 11 more than another number. Find the two numbers if three times the larger number exceeds four times the smaller number by 4.

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X minus 11 equals Y.
So, X is larger than Y.
So, 3 times X minus 33 equals 3 times Y.
Thus 3 times X equals 3 times Y plus 33.
Also, 3 times X minus 4 equals 4 times Y.

So, (3 times Y plus 33) minus 4 equals 4 times Y.

Thus 0 times Y plus 29 equals 1 times Y.

So, Y equals -27.