Question 35

Present ages of Rahul and his brother are in the ratio of 5 : 3. After 4 years ratio of ages of Rahul’s brother and his sister will be 5 : 6. If the present age of his sister is 26 years, then what will be the age (in years) of Rahul 3 years from now?

Solution

Rahul’s sister's age 4 years from now = $$26+4=30$$ years

Ratio of Rahul’s brother and his sister after 4 years = $$5:6$$

=> Rahul’s brother's age 4 years from now = $$\frac{5}{6}\times30=25$$ years

=> Rahul’s brother's present age = $$25-4=21$$ years

Ratio of Rahul and his brother's present age = $$5:3$$

=> Rahul’s present age = $$\frac{5}{3}\times21=35$$ years

$$\therefore$$ Rahul’s age 3 years from now = $$35+3=38$$ years

=> Ans - (A)


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