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Namarata's father is now four times her age. In five yrs, he will be three times her age. In how many yrs, will he be twice her age?
  • a)
    5
  • b)
    20
  • c)
    25
  • d)
    15
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Namarata's father is now four times her age. In five yrs, he will ...
Let Namrata's age = x years
Let Namrata's father's age = y years
∴ y = 4x and y + 5 = 3(x + 5)
∴ x = 10, y = 10
Let y + K = 2(x + K)
(i.e., After K years, the father will be double of her age)
⇒ 40 + K = 2(10 + K) ⇒ K = 20
∴ After 20 years, Namrata's father will be double of her age
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Most Upvoted Answer
Namarata's father is now four times her age. In five yrs, he will ...
Given: Namarata's father is now four times her age.

Let N be Namarata's current age and F be her father's current age.

We can write the equation as:

F = 4N

In five years, her father's age will be F+5 and Namarata's age will be N+5.

It is given that in five years, her father's age will be three times her age.

So, we can write another equation as:

F+5 = 3(N+5)

Substituting the value of F from the first equation, we get:

4N+5 = 3(N+5)

Solving for N, we get:

N = 15

So, Namarata's current age is 15 years.

To find out in how many years her father will be twice her age, let's assume it to be x years.

In x years, her father's age will be F+x and Namarata's age will be N+x.

We need to find x such that:

F+x = 2(N+x)

Substituting the value of F from the first equation, we get:

4N+x = 2(N+x)

Solving for x, we get:

x = 20

So, in 20 years, Namarata's father will be twice her age. Therefore, option B is the correct answer.
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Namarata's father is now four times her age. In five yrs, he will be three times her age. In how many yrs, will he be twice her age?a)5b)20c)25d)15Correct answer is option 'B'. Can you explain this answer?
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