One-third of Matthew's age is 22 years less than his age 18 years ago. How old is Matthew?

Matthew's present age ---- x

(1/3)x = (x-18) - 22
x/3 = x - 40
times 3
x = 3x - 120
2x = 120
x = 6
So Matthew is presently 60

check
1/3 of his age is 20
18 years ago he was 42
and sure enought, 20 is 22 less than 42