Class 10 Exam > Class 10 Questions > Two years ago a father was the five time as o...
Start Learning for Free
Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son?
Most Upvoted Answer
Two years ago a father was the five time as old as his son 2 years lat...
Community Answer
Two years ago a father was the five time as old as his son 2 years lat...
Given Information:
- Two years ago, the father was five times as old as his son.
- Two years later, the father's age will be 8 years more than three times the age of the son.
Let's solve the problem step by step:
Step 1: Assign Variables
Let the present age of the son be S years.
Let the present age of the father be F years.
Step 2: Translate the Given Information into Equations
From the first statement, we have:
F - 2 = 5(S - 2) (Father was five times as old as his son two years ago)
From the second statement, we have:
F + 2 = 3(S + 2) + 8 (Father's age 2 years later will be 8 more than three times the age of the son)
Step 3: Solve the Equations
Now, we will solve the two equations simultaneously to find the present ages of the father and the son.
1. F - 2 = 5S - 10 (Expanding the first equation)
F = 5S - 8
2. F + 2 = 3S + 6 + 8 (Expanding the second equation)
F = 3S + 14
Now, equating both expressions for F:
5S - 8 = 3S + 14
2S = 22
S = 11
Step 4: Find the Present Ages
Substitute the value of S back into the first equation to find the father's present age:
F = 5(11) - 8
F = 55 - 8
F = 47
Conclusion:
The present age of the son is 11 years, and the present age of the father is 47 years.
- Two years ago, the father was five times as old as his son.
- Two years later, the father's age will be 8 years more than three times the age of the son.
Let's solve the problem step by step:
Step 1: Assign Variables
Let the present age of the son be S years.
Let the present age of the father be F years.
Step 2: Translate the Given Information into Equations
From the first statement, we have:
F - 2 = 5(S - 2) (Father was five times as old as his son two years ago)
From the second statement, we have:
F + 2 = 3(S + 2) + 8 (Father's age 2 years later will be 8 more than three times the age of the son)
Step 3: Solve the Equations
Now, we will solve the two equations simultaneously to find the present ages of the father and the son.
1. F - 2 = 5S - 10 (Expanding the first equation)
F = 5S - 8
2. F + 2 = 3S + 6 + 8 (Expanding the second equation)
F = 3S + 14
Now, equating both expressions for F:
5S - 8 = 3S + 14
2S = 22
S = 11
Step 4: Find the Present Ages
Substitute the value of S back into the first equation to find the father's present age:
F = 5(11) - 8
F = 55 - 8
F = 47
Conclusion:
The present age of the son is 11 years, and the present age of the father is 47 years.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son?
Question Description
Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son? 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 Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son?.
Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son? 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 Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son?.
Solutions for Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son? defined & explained in the simplest way possible. Besides giving the explanation of
Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son?, a detailed solution for Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son? has been provided alongside types of Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son? theory, EduRev gives you an
ample number of questions to practice Two years ago a father was the five time as old as his son 2 years later his age will be 8 years more than three times the age of the Son . find the present is is of father and son? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 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