Question 1098063
100 = x + y


1/4 * x - 1/3 * y = 11


multiply both sides by 12 to get:


3 * x - 4 * y = 132


solve for x to get x = (4y + 132) / 3


replace x with it's equivalent value and your original equation of 100 = x + y becomes:


100 = (4y + 132) / 3 + y


multiply both sides of this equation by 3 to get:


300 = 4y + 132 + 3y


combine like terms to get 300 = 7y + 132


solve for y to get y = (300 - 132) / 7


this results in y = 24


since 100 = x + y, then x must be equal to 76 when y = 24.


1/4 * x - 1/3 * y = 11 becomes 1/4 * 76 - 1/3 * 24 = 11 which becomes 19 - 8 = 11 which becomes 11 = 11 which is true.


the two parts are 24 and 76 in ascending order.