The grandfathers age is 4 years more than nine times the age of the grandson. The fathers age of 40 years is 2 years less than six times the age of his son. The age of the grandfather is :

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Submitted by examrobotsa on

Q: 113 (CAPF/2009)
The grandfathers age is 4 years more than nine times the age of the grandson. The fathers age of 40 years is 2 years less than six times the age of his son. The age of the grandfather is :

question_subject: 

Polity

question_exam: 

CAPF

stats: 

0,9,2,0,2,9,0

keywords: 

{'grandfathers age': [0, 0, 1, 0], 'fathers age': [0, 0, 1, 0], 'grandfather': [0, 0, 1, 0], 'grandson': [0, 0, 1, 1], 'age': [2, 1, 1, 2], 'years': [1, 0, 0, 2]}

To solve this problem, we need to set up equations based on the information given.

Let`s assume the age of the grandson is x years.

According to the given information, the age of the grandfather is 4 more than nine times the age of the grandson. So, the age of the grandfather can be expressed as 9x + 4.

Similarly, the age of the father is 2 less than six times the age of the son. So, the age of the father can be expressed as 6x - 2.

Given that the age of the father is 40 years, we can equate the age of the father to 40 and solve for x.

6x - 2 = 40

6x = 42

x = 7

Now we know the age of the grandson is 7.

To find the age of the grandfather, we can substitute the value of x back into the equation for the age of the grandfather.

So, the age of the grandfather would be 9(7) + 4 = 63 + 4 = 67 years.

Therefore, Option 3, 67 years, is the correct answer.