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The difference between ages of two cousins is 10 year 15 years ago if the elder one was twice as old as the younger one finder present ages?
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The difference between ages of two cousins is 10 year 15 years ago if ...
Understanding the Problem
To solve the age problem, we need to establish the relationship between the ages of the two cousins. We know that:
- The difference in their ages is 10 years.
- 15 years ago, the elder cousin was twice as old as the younger cousin.
Let's denote the present ages of the cousins as follows:
- Elder cousin's age = E
- Younger cousin's age = Y
Setting Up the Equations
1. Age Difference:
- E - Y = 10 (Equation 1)
2. Age 15 years ago:
- Elder cousin's age 15 years ago = E - 15
- Younger cousin's age 15 years ago = Y - 15
- According to the problem:
E - 15 = 2(Y - 15) (Equation 2)
Solving the Equations
- From Equation 1, we can express E in terms of Y:
- E = Y + 10
- Substitute E in Equation 2:
- (Y + 10) - 15 = 2(Y - 15)
- Y - 5 = 2Y - 30
- Rearranging gives us:
Y = 25
- Now, substitute Y back into Equation 1 to find E:
- E = 25 + 10 = 35
Conclusion
- The present ages of the cousins are:
- Elder cousin's age: 35 years
- Younger cousin's age: 25 years
This satisfies the conditions provided in the problem: the age difference is 10 years, and 15 years ago, the elder cousin was indeed twice the age of the younger cousin.
To solve the age problem, we need to establish the relationship between the ages of the two cousins. We know that:
- The difference in their ages is 10 years.
- 15 years ago, the elder cousin was twice as old as the younger cousin.
Let's denote the present ages of the cousins as follows:
- Elder cousin's age = E
- Younger cousin's age = Y
Setting Up the Equations
1. Age Difference:
- E - Y = 10 (Equation 1)
2. Age 15 years ago:
- Elder cousin's age 15 years ago = E - 15
- Younger cousin's age 15 years ago = Y - 15
- According to the problem:
E - 15 = 2(Y - 15) (Equation 2)
Solving the Equations
- From Equation 1, we can express E in terms of Y:
- E = Y + 10
- Substitute E in Equation 2:
- (Y + 10) - 15 = 2(Y - 15)
- Y - 5 = 2Y - 30
- Rearranging gives us:
Y = 25
- Now, substitute Y back into Equation 1 to find E:
- E = 25 + 10 = 35
Conclusion
- The present ages of the cousins are:
- Elder cousin's age: 35 years
- Younger cousin's age: 25 years
This satisfies the conditions provided in the problem: the age difference is 10 years, and 15 years ago, the elder cousin was indeed twice the age of the younger cousin.
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The difference between ages of two cousins is 10 year 15 years ago if the elder one was twice as old as the younger one finder present ages?
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The difference between ages of two cousins is 10 year 15 years ago if the elder one was twice as old as the younger one finder 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 The difference between ages of two cousins is 10 year 15 years ago if the elder one was twice as old as the younger one finder present ages? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference between ages of two cousins is 10 year 15 years ago if the elder one was twice as old as the younger one finder present ages?.
The difference between ages of two cousins is 10 year 15 years ago if the elder one was twice as old as the younger one finder 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 The difference between ages of two cousins is 10 year 15 years ago if the elder one was twice as old as the younger one finder present ages? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference between ages of two cousins is 10 year 15 years ago if the elder one was twice as old as the younger one finder present ages?.
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