Question 316919
Bruce Gerlinger is a pickpocket who has spent 3/5 of his life in jail. He is there currently, with 2 more years to serve. If at the end of those 2 years he stays out of jail entirely for as many years as he will have spent in jail, he will be 44 years old. How old is he now?

let x = age now
(3/5)x + 2 = time in jail
(3/5)x + 2 = time out of jail

(3/5)x + 2 + (3/5)x + 2 = 44
(6/5)x + 4 = 44
(6/5)x = 40
x = 5/6 * 40
x = 200/6 = 33 1/3 to nearest year he is 33 years old now

check:
(3/5)(200/6) + 2 = 600/30 + 2 = 60/3 + 2 = 20 + 2 = 22
2 * 22 = 44