Question

Sudhir’s present age is 5 more than three times the age of Viru. Anil’s age is half the age of Sudhir. If the ratio of the sum of Sudhir’s and Viru’s age to three times Anil’s age is 5:6, then find Viru’s age.

Answer 1

Let Viru’s present age be x years. 

Sudhir’s present age is 5 more than three times the age of Viru. 

∴ Sudhir’s present age = (3x + 5) years 

Anil’s age is half the age of Sudhir.

∴ Anil’s present age = \(\left(\cfrac{3x+5}{2}\right)\)years 

Since, the ratio of the sum of Sudhir’s and Viru’s age to three times Anil’s age is 5:6.

∴ 2 × (24x + 30) = 45x + 75

∴ 48x + 60 = 45x + 75 

∴ 48x – 45x = 75 – 60 

∴ 3x = 15 

∴ x = \(\cfrac{15}{3}\)

∴ x = 5 

∴ Viru’s present age is 5 years.