Three years ago, Wendy's age was 3/4 as old as Erna and Lucys age was 2/3 as okd as Erna. If the sum of their ages is 67, find the present age of each.

Answer 1

ages three years ago:
Erna --- x
Wendy --- 3x/4
Lucy ----- 2x/3

their ages now:
Erna --- x + 3
Wendy --- 3x/4 + 3
Lucy ----- 2x/3 + 3

x + 3 + 3x/4 + 3 + 2x/3 + 3 = 67
x + 3x/4 + 2x/3 = 58
times 12, the LCD
12x + 9x + 8x = 696
x = 24

plug into my present age definitions.