UPSC Exam > UPSC Questions > If present age of son and father are expresse...
Start Learning for Free
If present age of son and father are expressed by x and y respectively and after 10years father will be twice as old as his son.Write the relation between x and y?
Most Upvoted Answer
If present age of son and father are expressed by x and y respectively...
Understanding the Problem
To find the relationship between the present ages of a son and father, let’s define their current ages:
- Let x = present age of the son
- Let y = present age of the father
After 10 years, their ages will change as follows:
- Son's age after 10 years: x + 10
- Father's age after 10 years: y + 10
Establishing the Relationship
According to the problem statement, after 10 years, the father will be twice as old as the son. This can be expressed mathematically as:
- y + 10 = 2(x + 10)
Expanding and Rearranging the Equation
Now, let’s simplify the equation:
- y + 10 = 2x + 20
By rearranging, we get:
- y = 2x + 20 - 10
This simplifies to:
- y = 2x + 10
Final Relationship Between Ages
The relationship between the present ages of the son and father is:
- y = 2x + 10
This means that the father’s present age is 10 years more than twice the son’s present age.
Conclusion
This relationship can be used to determine either individual’s age if one age is known. Understanding this equation is crucial for solving similar problems in algebra or age-related word problems.
To find the relationship between the present ages of a son and father, let’s define their current ages:
- Let x = present age of the son
- Let y = present age of the father
After 10 years, their ages will change as follows:
- Son's age after 10 years: x + 10
- Father's age after 10 years: y + 10
Establishing the Relationship
According to the problem statement, after 10 years, the father will be twice as old as the son. This can be expressed mathematically as:
- y + 10 = 2(x + 10)
Expanding and Rearranging the Equation
Now, let’s simplify the equation:
- y + 10 = 2x + 20
By rearranging, we get:
- y = 2x + 20 - 10
This simplifies to:
- y = 2x + 10
Final Relationship Between Ages
The relationship between the present ages of the son and father is:
- y = 2x + 10
This means that the father’s present age is 10 years more than twice the son’s present age.
Conclusion
This relationship can be used to determine either individual’s age if one age is known. Understanding this equation is crucial for solving similar problems in algebra or age-related word problems.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
If present age of son and father are expressed by x and y respectively and after 10years father will be twice as old as his son.Write the relation between x and y?
Question Description
If present age of son and father are expressed by x and y respectively and after 10years father will be twice as old as his son.Write the relation between x and y? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If present age of son and father are expressed by x and y respectively and after 10years father will be twice as old as his son.Write the relation between x and y? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If present age of son and father are expressed by x and y respectively and after 10years father will be twice as old as his son.Write the relation between x and y?.
If present age of son and father are expressed by x and y respectively and after 10years father will be twice as old as his son.Write the relation between x and y? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If present age of son and father are expressed by x and y respectively and after 10years father will be twice as old as his son.Write the relation between x and y? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If present age of son and father are expressed by x and y respectively and after 10years father will be twice as old as his son.Write the relation between x and y?.
Solutions for If present age of son and father are expressed by x and y respectively and after 10years father will be twice as old as his son.Write the relation between x and y? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of If present age of son and father are expressed by x and y respectively and after 10years father will be twice as old as his son.Write the relation between x and y? defined & explained in the simplest way possible. Besides giving the explanation of
If present age of son and father are expressed by x and y respectively and after 10years father will be twice as old as his son.Write the relation between x and y?, a detailed solution for If present age of son and father are expressed by x and y respectively and after 10years father will be twice as old as his son.Write the relation between x and y? has been provided alongside types of If present age of son and father are expressed by x and y respectively and after 10years father will be twice as old as his son.Write the relation between x and y? theory, EduRev gives you an
ample number of questions to practice If present age of son and father are expressed by x and y respectively and after 10years father will be twice as old as his son.Write the relation between x and y? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup