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Rakhis mother is four times as old as Rakhi after 5 years her mother will be three times as she will be them find their present ages?
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Rakhis mother is four times as old as Rakhi after 5 years her mother w...
Understanding the Problem
To find the present ages of Rakhi and her mother, we need to set up equations based on the information given in the problem.
Defining Variables
- Let Rakhi's present age be "x" years.
- Then, Rakhi's mother's present age will be "4x" years (as she is four times Rakhi's age).
Future Age Conditions
- In 5 years, Rakhi's age will be "x + 5".
- In 5 years, her mother's age will be "4x + 5".
According to the problem, in 5 years, Rakhi's mother will be three times Rakhi's age:
Setting Up the Equation
- We can express this as:
4x + 5 = 3(x + 5)
Simplifying the Equation
- Expand the equation:
4x + 5 = 3x + 15
- Rearranging terms gives us:
4x - 3x = 15 - 5
x = 10
Calculating Present Ages
- Rakhi's present age:
x = 10 years
- Rakhi's mother's present age:
4x = 4 * 10 = 40 years
Final Answer
- Rakhi is currently 10 years old.
- Rakhi's mother is currently 40 years old.
This solution systematically breaks down the problem, leading to the conclusion that the present ages are 10 and 40 years, respectively.
To find the present ages of Rakhi and her mother, we need to set up equations based on the information given in the problem.
Defining Variables
- Let Rakhi's present age be "x" years.
- Then, Rakhi's mother's present age will be "4x" years (as she is four times Rakhi's age).
Future Age Conditions
- In 5 years, Rakhi's age will be "x + 5".
- In 5 years, her mother's age will be "4x + 5".
According to the problem, in 5 years, Rakhi's mother will be three times Rakhi's age:
Setting Up the Equation
- We can express this as:
4x + 5 = 3(x + 5)
Simplifying the Equation
- Expand the equation:
4x + 5 = 3x + 15
- Rearranging terms gives us:
4x - 3x = 15 - 5
x = 10
Calculating Present Ages
- Rakhi's present age:
x = 10 years
- Rakhi's mother's present age:
4x = 4 * 10 = 40 years
Final Answer
- Rakhi is currently 10 years old.
- Rakhi's mother is currently 40 years old.
This solution systematically breaks down the problem, leading to the conclusion that the present ages are 10 and 40 years, respectively.
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Rakhis mother is four times as old as Rakhi after 5 years her mother will be three times as she will be them find their present ages?
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Rakhis mother is four times as old as Rakhi after 5 years her mother will be three times as she will be them find their present ages? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Rakhis mother is four times as old as Rakhi after 5 years her mother will be three times as she will be them find their present ages? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rakhis mother is four times as old as Rakhi after 5 years her mother will be three times as she will be them find their present ages?.
Rakhis mother is four times as old as Rakhi after 5 years her mother will be three times as she will be them find their present ages? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Rakhis mother is four times as old as Rakhi after 5 years her mother will be three times as she will be them find their present ages? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rakhis mother is four times as old as Rakhi after 5 years her mother will be three times as she will be them find their present ages?.
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