The difference of two numbers is 8. the larger number is three more then twice the second number. Find the numbers

5 and 13

Step-by-step explanation:

1) If we call the larger number x and the smaller y we can write two equations.

y = x - 8 and x - 3=2y

2) we can substitute the x-8 in for the y in the second equation.

x-3=2 (x-8)

3) by distributing and simplifying we find that x=13

4) To find y we need to plug x back into the first equation.

y=13-8

y=5