The age of Arvind’s father is 4 times of his age. If 8 years ago, father’s age was 16 times of the age of his son. What is the age of Arvind’s father at the present ?
Answers
Given :-
- The age of Arvind’s father is 4 times of his age.
- 8 years ago, father’s age was 16 times of the age of his son.
To Find :-
- What is the age of Arvind’s father at the present ?
Solution :-
~Here, we’re given that age of Arvind’s father is 4 times of his age and 8 years ago, father’s age was 16 times of the age of his son and we need to find the present age of Arvind’s father at the present. Firstly , we will assume the present age of Arvind and write his father’s age accordingly and then will form an equation according to the information given in the question. By solving that equation we’ll get the required answer.
_____________
⨭Let the present ages be :
- Arvind’s age = x
- Arvind’s father age = 4x
⨭8 years ago :
- Arvind’s age = x - 8
- Arvind’s father age = 4x - 8
According to the question :-
⇢ 16( x – 8 ) = 4x – 8
⇢ 16x – 128 = 4x – 8
⇢ 16x – 4x = 128 – 8
⇢ 12x = 120
⇢ x = 120/12
⇢ x = 10
➱ Father’s age = 4( 10 ) = 40 years
Hence,
- Present age of the father is 40 years.
_____________
Given:-
- The age of Arvind’s father is 4 times of his age.
- 8 years ago, father’s age was 16 times of the age of his son.
⠀
To Find:-
- Present age of Arvind’s father.
⠀
Solution:-
★ In this question we have given that the age of Arvind's father is 4 times of his age. 8 years ago, father’s age was 16 times of the age of his son. We have to find out the present age of Arvind's father. Let's do it.
⠀
Let,
- the present age of Arvind be x.
- the present age of Arvind’s father be 4x.
⠀
8 years ago,
- Arvind’s age be x - 8.
- Arvind’s father age = 4x - 8.
⠀
According to the question,
⇢ 16( x - 8 ) = 4x - 8
⇢ 16x - 128 = 4x - 8
⇢ 16x - 4x = 128 - 8
⇢ 12x = 120
⇢ x = 120/12
⇢ x = 10
⠀
Therefore,
- Father’s age = 4 × 10 = 40 years
⠀
Hence,
- Present age of Arvind's father is 40 years.