You can put this solution on YOUR website! (1) choose one of the boys to have his age be your variable, x. Since the problem asks for Tim's age, it will probably be easiest to choose him. So
let x = Tim's age
(2) get expressions for John's and Michael's ages in terms of x, using the given information.
John is 8 years older than Tim: x+8 = John's age
Tim is 2 years younger than Michael -- i.e., Michael is 2 years older than Tim: x+2 = Michael's age
(3) write and solve the equation that says the sum of the ages is 63:
I'll let you finish from there....
However, you will find that the ages are not whole numbers, which is not possible -- so some of the information in the problem as you show it is not right.