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?

Ankur’s brother's age 6 years from now = $$32+6=38$$ years

Ratio of Ankur’s sister and his brother after 6 years = $$3:2$$

=> Ankur’s sister's age 6 years from now = $$\frac{3}{2}\times38=57$$ years

=> Ankur’s sister's present age = $$57-6=51$$ years

Ratio of Ankur and his sister's present age = $$4:3$$

=> Ankur’s present age = $$\frac{4}{3}\times51=68$$ years

$$\therefore$$ Ankur’s age 3 years from now = $$68+3=71$$ years

=> Ans - (A)