One number is 2 less than a second number. twice the second number is 2 less than 3 times the first. Find the two numbers

Answer: 6 and 8

Step-by-step explanation: Call the first number x and the second number y.

One number is two less than the second number so x=y-2 (*)

Twice the second number is 2 less than 3 times the first gives us,

2y=3x-2

Substituting equation (*) into this equation gives,

2y=3 (y-2) - 2 which solves to give y=8 and (*) gives x=6