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At present Asha's age is 2 more than the square of her daughter Nisha's age.When Nisha grows to her mother's present age,Asha's age would be one year less than 10 times the present age of Nisha.Find the present ages of Nisha & Asha?
Most Upvoted Answer
At present Asha's age is 2 more than the square of her daughter Nisha'...
To find the present ages of Asha and Nisha, let's break down the problem step by step.
Step 1: Define Variables
- Let N be Nisha's present age.
- Therefore, Asha's present age A can be represented as:
A = N^2 + 2
Step 2: Age Relationship in the Future
- When Nisha reaches Asha's current age (A), the time elapsed will be (A - N) years.
- At that time, Asha's age will be:
A + (A - N) = 2A - N
Step 3: Set Up the Equation
- According to the problem, Asha's age at that time will be one year less than 10 times Nisha's current age:
2A - N = 10N - 1
Step 4: Substitute A in the Equation
- Substitute A from Step 1 into the equation:
2(N^2 + 2) - N = 10N - 1
- Simplifying the equation:
2N^2 + 4 - N = 10N - 1
2N^2 - 11N + 5 = 0
Step 5: Solve the Quadratic Equation
- Use the quadratic formula or factorization to find N:
Factoring gives: (2N - 1)(N - 5) = 0
- Thus, N = 0.5 or N = 5.
Step 6: Determine Present Ages
- Since age cannot be negative or a fraction, Nisha's age (N) is 5 years.
- Substitute N back to find Asha’s age:
A = 5^2 + 2 = 25 + 2 = 27 years.
Final Present Ages
- Nisha's present age: 5 years
- Asha's present age: 27 years
This concludes the solution to the age problem!
Step 1: Define Variables
- Let N be Nisha's present age.
- Therefore, Asha's present age A can be represented as:
A = N^2 + 2
Step 2: Age Relationship in the Future
- When Nisha reaches Asha's current age (A), the time elapsed will be (A - N) years.
- At that time, Asha's age will be:
A + (A - N) = 2A - N
Step 3: Set Up the Equation
- According to the problem, Asha's age at that time will be one year less than 10 times Nisha's current age:
2A - N = 10N - 1
Step 4: Substitute A in the Equation
- Substitute A from Step 1 into the equation:
2(N^2 + 2) - N = 10N - 1
- Simplifying the equation:
2N^2 + 4 - N = 10N - 1
2N^2 - 11N + 5 = 0
Step 5: Solve the Quadratic Equation
- Use the quadratic formula or factorization to find N:
Factoring gives: (2N - 1)(N - 5) = 0
- Thus, N = 0.5 or N = 5.
Step 6: Determine Present Ages
- Since age cannot be negative or a fraction, Nisha's age (N) is 5 years.
- Substitute N back to find Asha’s age:
A = 5^2 + 2 = 25 + 2 = 27 years.
Final Present Ages
- Nisha's present age: 5 years
- Asha's present age: 27 years
This concludes the solution to the age problem!
Community Answer
At present Asha's age is 2 more than the square of her daughter Nisha'...
Asha's age is 27nisha's age is 5 years
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At present Asha's age is 2 more than the square of her daughter Nisha's age.When Nisha grows to her mother's present age,Asha's age would be one year less than 10 times the present age of Nisha.Find the present ages of Nisha & Asha?
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At present Asha's age is 2 more than the square of her daughter Nisha's age.When Nisha grows to her mother's present age,Asha's age would be one year less than 10 times the present age of Nisha.Find the present ages of Nisha & Asha? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about At present Asha's age is 2 more than the square of her daughter Nisha's age.When Nisha grows to her mother's present age,Asha's age would be one year less than 10 times the present age of Nisha.Find the present ages of Nisha & Asha? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At present Asha's age is 2 more than the square of her daughter Nisha's age.When Nisha grows to her mother's present age,Asha's age would be one year less than 10 times the present age of Nisha.Find the present ages of Nisha & Asha?.
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