Betty is three times as old as Kate. Two years ago, Kate was 1/4 as old as Betty. How old is Betty now?

b = 3 k

so k = b/3
k -2 = (1/4)(b-2)
b/3 - 2 = (1/4) (b-2) now multiply both sides by 12
4 b - 24 = 3 b - 6
b = 24 - 6 = 18