Divide 100 into 2 parts, such that a quarter of one part exceeds one-third of the other part by 11.

Let two parts are 100 - x and x
Then (100 - x)/4 = x/3 + 11
=> 25 - 4/x = x/3 + 11
=> 25 - 11 = x/3 + x/4
=> 14 = 7/12 x => x = 14 * (12 /7) = x
=> x = 24
=> 100 - 24 = 76

The two parts are 24 and 76