Present ages of Ankur and his sister are in the ratio of 4 : 3. After 6 years ratio of ages of Ankur's sister and his brother will be 3: 2. If the present age of his brother is 32 years, then after 3 years what will be the age (in years) of Ankur?

Options

A. 71
B. 68
C. 70
D. 65

Answer

A

Explanation

Suppose present age of Ankur =4x years
`:.` Present age of Ankur.s sister =3x years
Aagin,
After 6 years,
Age of Ankur.s sister =3y
Age of Ankur.s borther =2y
According to question,
2y-6=32
`implies2y=32+6`
`:.y=(38)/(2)=19` years
`:.` Present age of Ankur.s sister
`=3y-6=3xx19-6`
`=57-6=51` years
Now, 3x=51 years
`:.x=(51)/(3)=17` years
`:.` Present age of Ankur =4x
`=4xx17=68` years
Thus age of Ankur after 3 years `=68+3=71` years