let's call the numbers x (the bigger) and y (the smaller)
The larger of two integers is 8 less than twice the smaller. this means:
x=2z-8
When the smaller number is subtracted from the larger, the difference is 17.
This means: x-z=17.
i'll insert
2z-8
instead of x, since it's equal to it:
2z-8-z=17
2z-z is just z:
z-8=17
so
z=25.
and x must be 25+17=42
let's check:The larger of two integers is 8 less than twice the smaller.
twice the smaller is 50, and yes, 42 is 8 smaller than 50, it's correct!
so the two numbers are 25 and 42