Answer
362.6k+ views
Hint: In the given question take the present age of father and his son as variables. Then equate father's age to six times his son's age. Then add four years to the father's and his son's age and multiply his son's age with four and equate with father’s age. Then you will obtain two equations. By solving them we can obtain the present age of father and his son.
Complete step-by-step answer:
Let the present age of father be \[x\] years and the present age of son be \[y\] years.
Given that the father’s age is six times his son’s age i.e., \[x = 6y...........\left( 1 \right)\]
Since, the age of the father will be four times his son's age after four years, we have
\[ \Rightarrow x + 4 = 4\left( {y + 4} \right)............\left( 2 \right)\]
Substituting equation (1) in (2) we get,
$ \Rightarrow 6y + 4 = 4\left( {y + 4} \right) $
$ \Rightarrow 6y + 4 = 4y + 16 $
Complete step-by-step answer:
Let the present age of father be \[x\] years and the present age of son be \[y\] years.
Given that the father’s age is six times his son’s age i.e., \[x = 6y...........\left( 1 \right)\]
Since, the age of the father will be four times his son's age after four years, we have
\[ \Rightarrow x + 4 = 4\left( {y + 4} \right)............\left( 2 \right)\]
Substituting equation (1) in (2) we get,
$ \Rightarrow 6y + 4 = 4\left( {y + 4} \right) $
$ \Rightarrow 6y + 4 = 4y + 16 $
On simplification,
$ \Rightarrow 6y - 4y = 16 - 4 $
$ \Rightarrow 6y - 4y = 16 - 4 $
Simplifying further,
$ \Rightarrow 2y = 12 $
$ \Rightarrow 2y = 12 $
Dividing on both sides by 2, we get
$ y = 6 $
From equation (1) we have
$ \Rightarrow x = 6y $
$ y = 6 $
From equation (1) we have
$ \Rightarrow x = 6y $
Substituting the $y$ value in the above equation,
$ \Rightarrow x = 6 \times 6 $
$ \Rightarrow x = 6 \times 6 $
On simplification we get
$ x = 36 $
Therefore, the present age of father is 36 years and the present age of his son is 6 years.
Thus, the correct option is C. 6 and 36
Note: The age of the son cannot be more than the age of his father i.e., \[x > y\]. And the age of both of them cannot be less than four, because in the given problem the condition period has already passed away four years.
$ x = 36 $
Therefore, the present age of father is 36 years and the present age of his son is 6 years.
Thus, the correct option is C. 6 and 36
Note: The age of the son cannot be more than the age of his father i.e., \[x > y\]. And the age of both of them cannot be less than four, because in the given problem the condition period has already passed away four years.
Recently Updated Pages
What are the figures of speech in the poem Wind class 11 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write down 5 differences between Ntype and Ptype s class 11 physics CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Two tankers contain 850 litres and 680 litres of petrol class 10 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
What happens when eggshell is added to nitric acid class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why was Kamaraj called as Kingmaker class 10 social studies CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
What makes elections in India democratic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Distinguish between fundamental units and derived class 11 physics CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Dynesec the unit of A Momentum B Force C Work D Angular class 11 physics CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
![arrow-right](/cdn/images/seo-templates/arrow-right.png)