Question 328704
let x = one of the integers
let y = the other of the integers


The sum is 42 gets you x + y = 42


The difference is 8 gets you x - y = 8


You need to solve these 2 equations simultaneously to get your answers.


The equations are:


x + y = 42
x - y = 8


Add the 2 equations together to get:


2x = 50


Divide both sides of this equation by 2 to get:


x = 25



If x = 25, then x + y = 42 gets you y = 17


If x = 25 and y = 17, then x - y = 8 gets you 25 - 17 = 8 which becomes 8 = 8 which is true.


This confirms that the values of 25 for x and 17 for y are good.


Your answer is that the integers are 25 and 17.


25 + 17 = 42
25 - 17 = 8