Rahul's Father's age is 6 times of his age. 4 years ago. father's age was 16 times of Rahul's age Find their present ages
Answers
Answer:
The present age of Rahul and his father is 6 years and 36 years respectively.
Step-by-step explanation:
Let the present age of Rahul be x
Hence, present age of his father will be 6x
4 years ago,
Age of Rahul = x - 4
Age of his father = 6x - 4
By condition,
16(x - 4) = 6x - 4
=> 16x - 64 = 6x - 4
=> 16x - 6x = 64 - 4
=> 10x = 60 => x = 60/10 = 6
Present age of Rahul = x = 6
Present age of his father = 6x = 6×6 = 36
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✬ Rahul's age = 6 Years ✬
✬ Father's age = 36 Years ✬
Step-by-step explanation:
Given:
- Rahul's father age is 6 times of his age.
- 4 years ago father's age was 16 times of Rahul's age.
To Find:
- What is the present ages of both ?
Solution: Let Rahul's age be y years. Then,
➱ Rahul's father age = 6 times of y
➱ Father"s age = 6y years
Now, Four years ago their ages was
- Rahul's age = (y – 4) Years
- His father age = (6y – 4) years
But, according to the question
• Four years ago father's age was 16 times that of Rahul's age. So the equation formed will be
(Father age) = 16(Rahul's age)
(6y – 4) = 16 (y – 4)
6y – 4 = 16y – 64
6y – 16y = – 64 + 4
– 10y = – 60
10y = 60
y = 60/10
y = 6
Hence,
➟ Rahul's present age = x = 6 years
➟ His father's age = 6y = 6 6 = 36 years.