The difference between two numbers is 2. 3 times the larger number plus 1 half the smaller is 34. What is the equaution?

Answer 1

let the smaller be x
then the larger is x+2
3(x+2) + (1/2)x = 34
3x + 6 + (1/2)x = 34
multiply each term by 2
6x + 12 + x = 68
7x = 56
x = 8

state your conclusion