Let denote the numbers with X and Y. From the statement that one number is 5 more than twice another we can write the following: X=2*Y+5
From the fact that their sum is 23 we can write: X+Y=23, so it follows: X=23-Y
The following system of equation represents the problem:
X=23-Y and X=2*Y+5
The solution of the problem is:
23-Y=2*Y+5
23=3*Y+5
23-5=3*y
18=3*Y
Y=18/3=6
X=23-Y=23-6=17
