the difference of two numbers is - 1. If twice the number first number is added to three times the second number, the result is 13. What are the numbers

first number = 2

second number = 3

Step-by-step explanation:

first number = a

second number = b

we have

a-b=-1 equation 1

2a+3b=13 equation 2

using equation 1 we have

a=-1+b

using equation 2

2 (-1+b) + 3b=13

-2+2b+3b=13

5b=13+2

b=15/5=3 = second number

a=-1+3=2 = first number