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Kavitha is 9 years younger than Lizzy. 8 years ago, Lizzy was 2 times as old as Kavitha reduced by 1. How old are they now?

User Bkildow
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2 Answers

6 votes

Answer: Kavitha is 18 and Lizzy is 27

Step-by-step explanation: 8 years ago, Kavitha was 10 and Lizzy was 19.

10 × 2 = 20

20 - 1 = 19

Kavitha is 9 years younger than Lizzy because 27 - 9 = 18

User Kazo
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5 votes

9514 1404 393

Answer:

Kavitha is 19 and Lizzy is 28

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.

User Omer Tuchfeld
by
7.6k points
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