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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?
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Verified Answer
Namarata's father is now four times her age. In five yrs, he will be t...
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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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.
Most Upvoted Answer
Namarata's father is now four times her age. In five yrs, he will be t...
Problem:
Namarata's father is now four times her age. In five years, he will be three times her age. In how many years will he be twice her age?
Solution:
Let's assume Namarata's current age is 'x' years.
According to the given information:
- Namarata's father is currently four times her age, so his current age is 4x years.
- In five years, Namarata's age will be x+5 years and her father's age will be 4x+5 years.
- In five years, Namarata's father will be three times her age, so we have the equation:
4x + 5 = 3(x + 5)
Solving the Equation:
Let's solve the equation to find the value of x:
4x + 5 = 3x + 15 (Distribute 3 to x and 5)
x = 10 (Subtract 3x from both sides)
Calculating the Future Age:
Now that we know Namarata's current age is 10 years, let's calculate in how many years her father will be twice her age:
Let's assume the number of years after which Namarata's father will be twice her age is 'y'.
After 'y' years, Namarata's age will be x + y and her father's age will be 4x + y.
According to the given information, her father will be twice her age:
4x + y = 2(x + y)
Substituting the value of x as 10:
4(10) + y = 2(10 + y)
40 + y = 20 + 2y (Distribute 2 to 10 and y)
y = 20 (Subtract y from both sides)
Therefore, after 20 years, Namarata's father will be twice her age.
Final Answer:
The correct option is (b) 20 years.
Namarata's father is now four times her age. In five years, he will be three times her age. In how many years will he be twice her age?
Solution:
Let's assume Namarata's current age is 'x' years.
According to the given information:
- Namarata's father is currently four times her age, so his current age is 4x years.
- In five years, Namarata's age will be x+5 years and her father's age will be 4x+5 years.
- In five years, Namarata's father will be three times her age, so we have the equation:
4x + 5 = 3(x + 5)
Solving the Equation:
Let's solve the equation to find the value of x:
4x + 5 = 3x + 15 (Distribute 3 to x and 5)
x = 10 (Subtract 3x from both sides)
Calculating the Future Age:
Now that we know Namarata's current age is 10 years, let's calculate in how many years her father will be twice her age:
Let's assume the number of years after which Namarata's father will be twice her age is 'y'.
After 'y' years, Namarata's age will be x + y and her father's age will be 4x + y.
According to the given information, her father will be twice her age:
4x + y = 2(x + y)
Substituting the value of x as 10:
4(10) + y = 2(10 + y)
40 + y = 20 + 2y (Distribute 2 to 10 and y)
y = 20 (Subtract y from both sides)
Therefore, after 20 years, Namarata's father will be twice her age.
Final Answer:
The correct option is (b) 20 years.
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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?
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