Answer:
8 and 21
Step-by-step explanation:
let x be the smaller number and y the larger number
a larger number is five more than double a smaller number
y=(2x)+5-----i
their difference is 13
y-x=13-------ii
substituting for y in ii
2x+5-x=13
collecting like terms
2x-x=13-5
x=8
recall ii and substitute for x
y-x=13
y-8=13
therefore
y=13+8
=21