Question 952323
x = larger integer
y = smaller integer


x + y = 25
2x - 1 = 4y + 1


Rearranging the first equation, we get x = 25 - y. We can substitute this into the second equation.


2x - 1 = 4y + 1
2(25 - y) - 1 = 4y + 1
50 - 2y - 1 = 4y + 1
48 = 6y
8 = y


The integers are 17 and 8.