Dixie is six years older than her sister.Eight years ago she was four times as old as her sister.How old is each now?

Question

Dixie is six years older

Answer 1

Let x = the sister's age     age eight years ago = x - 8

Let x + 6 = the Dixie's age     age eight years ago = x + 6 - 8 = x - 2

4(x - 8) = x - 2

4x - 32 = x - 2

3x = 30

x = 10

x + 6 = 16