Math, asked by ankiteitkan, 10 months ago

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

Answered by SidhantVerma77
1

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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Answered by pandaXop
5

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

\implies{\rm } (Father age) = 16(Rahul's age)

\implies{\rm } (6y 4) = 16 (y 4)

\implies{\rm } 6y 4 = 16y 64

\implies{\rm } 6y 16y = 64 + 4

\implies{\rm } 10y = 60

\implies{\rm } 10y = 60

\implies{\rm } y = 60/10

\implies{\rm } y = 6

Hence,

➟ Rahul's present age = x = 6 years

➟ His father's age = 6y = 6 \times 6 = 36 years.

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