The average age of Raj and his father is 45 years. If the ages of the father and the grandfather of Raj are respectively two and three times that of Raj, then the age of Raj`s grandfather is

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Q: 77 (CAPF/2021)
The average age of Raj and his father is 45 years. If the ages of the father and the grandfather of Raj are respectively two and three times that of Raj, then the age of Raj's grandfather is

question_subject: 

Polity

question_exam: 

CAPF

stats: 

0,12,4,4,12,0,0

In this question, we are given that the average age of Raj and his father is 45 years. Let`s assume Raj`s age as x years. Since the father`s age is 2 times that of Raj, the father`s age would be 2x years. The sum of their ages is then x + 2x = 3x.

We are also given that the grandfather`s age is 3 times that of Raj`s age, so the grandfather`s age would be 3x years.

To find the average age, we need to divide the sum of their ages (3x) by the number of people (2), which gives us 3x/2.

According to the given information, the average age of Raj and his father is 45 years. So, we can set up the equation 3x/2 = 45.

Solving this equation, we find x = 30.

Since we need to find the age of Raj`s grandfather, we substitute x = 30 into the expression for the grandfather`s age: 3x = 3 * 30 = 90.

Therefore, the age of Raj`s grandfather is 90 years.