At present, Kavita is twice Sarita's age. 8 yr hence, the respective ratio between Kavita's and Sarita's ages will be 22 : 13. What is Kavita 's present age?

26 yr
18 yr
42 yr
36 yr

Correct Answer: 36 yr

Explanation:

Let Sarita;s present age = k yr
Then, Kavita's present age = 2k yr
According to the question,
(2k + 8) / (k + 8) = 22/13
⇒ 26k + 104 = 22k + 176
⇒ 4k = 72
∴ k = 18
Hence, Kavita's age = 2 x 18 = 36 yr

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