Question

Raju’s fathers age is $ 2 $ a year more than $ 3 $ time Raju’s age. If Raju’s present age is $ y $ years, then what is his father’s age?

Answer 1

Hint: First, we need to understand the given question correctly. The question requires only the father's age.
But the father's age is unknown, to find the father's age we have some hints like that Raju’s age is given in the linked form with the father's age.
Also, Raju’s present age is given as $ y $ years so it can be anything like five years(child), twenty years (teenage).

Complete step by step answer:
Since Raju’s present age is given in the form of variables, we used that variable to simplify to find the father’s original age.
Thus, Raju’s age is given as $ y $ years.
But the restriction(given) is Raju’s father's age is two years more than and also three times Raju’s current age.
First, it is given two years more, thus we get additional operations.
Second, we get from the given, three times than Raju’s age, thus we get the multiplication operation.
Hence three times Raju’s age means, $ 3y $ (three into Raju’s age).
And two years more than Raju's age means $ y + 2 $ .
Since the given question asks us to find the father's age with Raju’s father's age is $ 2 $ year more than and also $ 3 $ time Raju’s age (at the same time).
Thus, we get, $ 2 + 3y $ is the age of Raju's father (three times the Raju’s age and also two years more than him).

Note: Since more than means addition, times the age means multiplication, and less than means subtraction.
Like if the question is Raju’s father's age is $ 2 $ a year less than $ 2 $ the time Raju’s age.
Then we get the answer as $ 2 - 2y $ which is the father’s age.