Ray is six years younger than Tom. John is three times as old as Ray. Let Tom be x years old. The three of them have a combined age of 101. How old is each person?

Ray = 19 yrs old
Tom = 25 yrs old
John = 57 yrs old

Explanation:

Let x be the years of Tom

R = x - 6
J = 3R = 3(x - 6)
T = x

R + J + T = 101
x - 6 + 3(x - 6) + x = 101
2x - 6 + 3x - 18 = 101
5x - 24 = 101
5x = 125
x = 125/5 = 25

R = 25 - 6 = 19
J = 3(25 - 6) = 57
T = 25