9514 1404 393
Answer:
Kavitha is 19 and Lizzy is 28
Step-by-step explanation:
Let k and l represent the current ages of Kavitha and Lizzy.
k = l -9 . . . . . Kavitha is 9 years younger
l -8 = 2(k -8 -1) . . . . 8 years ago, Lizzy was 2 times as old as Kavitha was 9 years ago
l -8 = 2(l -9 -9) . . . . substitute for k
l -8 = 2l -36 . . . . . . eliminate parentheses
28 = l . . . . . . . . . . . add 36 - l
k = 28 -9 = 19
Kavitha is 19; Lizzy is 28.
