At present Kavita is twice Satita's age. Eight years hence, the respective ratio between Kavita's and Sarita's ages then will be ` 22 : 13`. What is Kavita's present age ?

Options

A. 26 years
B. 18 years
C. 42 years
D. 36 years

Explanation

Let Sarita's age = x year, then Kavita's age = 2x years
According to question after eight years, ` (2x=8)/(x+8) = 22/13`
` rArr 26x+104=22x+176`
`rArr 26x - 22x= 176 - 104`
` rArr 4x = 72" " :. X = (72)/ 4 = 18`
`:. ` Kavita's Present age = ` 2x = 2 xx 18 = 36` years.