The average age of Ram and his two children is 17 years and the average age of Ram's wife and the same children is 16 years. If the age of Ram is 33 years, the age of his wife is :

30 years

Age of Ram = 33 years

The average age of Ram and his two children = 17 years

⇒ total ages of (Ram + two children )= 51 years .... ( 1 )

and the average age of Ram’s wife and the same children = 16 years.

⇒total age of ( His wife + two children) = 48 years .... ( 2 )

From eq. ( 1 ) - ( 2 ) , we get

∴ Ram – Ram's wife = 3 years

⇒ 33 – wife = 3 years

∴ Wife = 33 – 3 = 30 years