UPSC Exam > UPSC Questions > The sum of ages of Anup and his father is 100...
Start Learning for Free
The sum of ages of Anup and his father is 100. When Anup is as old as his father now , he will be 5 times as old as his son Anuj is now . Anuj will be 8 years older than Anup is now , when Anup is as old as his father. What are there ages now?
Most Upvoted Answer
The sum of ages of Anup and his father is 100. When Anup is as old as ...
Given information:
- The sum of ages of Anup and his father is 100.
- When Anup is as old as his father now, he will be 5 times as old as his son Anuj is now.
- Anuj will be 8 years older than Anup is now when Anup is as old as his father.
Let's break down the problem step by step:
Step 1: Define the variables
Let's assume:
- Anup's current age = A
- Anuj's current age = N
- Anup's father's current age = F
Step 2: Form equations based on the given information
1. A + F = 100 (Sum of ages of Anup and his father is 100)
2. A + (F - A) = 5N (When Anup is as old as his father now, he will be 5 times as old as his son Anuj is now)
3. N = A + 8 (Anuj will be 8 years older than Anup is now when Anup is as old as his father)
Step 3: Solve the equations
From equation 3, we can substitute N = A + 8 into equation 2:
A + (F - A) = 5(A + 8)
F - A = 5A + 40
F = 6A + 40
Now, substitute F = 6A + 40 into equation 1:
A + 6A + 40 = 100
7A = 60
A = 60/7
A = 8.57 (approx.)
Now, we can find the ages of Anup, Anuj, and Anup's father:
- Anup's age (A) ≈ 8.57 years
- Anuj's age (N) = A + 8 ≈ 8.57 + 8 ≈ 16.57 years
- Anup's father's age (F) = 6A + 40 ≈ 6(8.57) + 40 ≈ 94.42 years
Therefore, Anup is approximately 8.57 years old, Anuj is approximately 16.57 years old, and Anup's father is approximately 94.42 years old.
- The sum of ages of Anup and his father is 100.
- When Anup is as old as his father now, he will be 5 times as old as his son Anuj is now.
- Anuj will be 8 years older than Anup is now when Anup is as old as his father.
Let's break down the problem step by step:
Step 1: Define the variables
Let's assume:
- Anup's current age = A
- Anuj's current age = N
- Anup's father's current age = F
Step 2: Form equations based on the given information
1. A + F = 100 (Sum of ages of Anup and his father is 100)
2. A + (F - A) = 5N (When Anup is as old as his father now, he will be 5 times as old as his son Anuj is now)
3. N = A + 8 (Anuj will be 8 years older than Anup is now when Anup is as old as his father)
Step 3: Solve the equations
From equation 3, we can substitute N = A + 8 into equation 2:
A + (F - A) = 5(A + 8)
F - A = 5A + 40
F = 6A + 40
Now, substitute F = 6A + 40 into equation 1:
A + 6A + 40 = 100
7A = 60
A = 60/7
A = 8.57 (approx.)
Now, we can find the ages of Anup, Anuj, and Anup's father:
- Anup's age (A) ≈ 8.57 years
- Anuj's age (N) = A + 8 ≈ 8.57 + 8 ≈ 16.57 years
- Anup's father's age (F) = 6A + 40 ≈ 6(8.57) + 40 ≈ 94.42 years
Therefore, Anup is approximately 8.57 years old, Anuj is approximately 16.57 years old, and Anup's father is approximately 94.42 years old.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
The sum of ages of Anup and his father is 100. When Anup is as old as his father now , he will be 5 times as old as his son Anuj is now . Anuj will be 8 years older than Anup is now , when Anup is as old as his father. What are there ages now?
Question Description
The sum of ages of Anup and his father is 100. When Anup is as old as his father now , he will be 5 times as old as his son Anuj is now . Anuj will be 8 years older than Anup is now , when Anup is as old as his father. What are there ages now? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The sum of ages of Anup and his father is 100. When Anup is as old as his father now , he will be 5 times as old as his son Anuj is now . Anuj will be 8 years older than Anup is now , when Anup is as old as his father. What are there ages now? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of ages of Anup and his father is 100. When Anup is as old as his father now , he will be 5 times as old as his son Anuj is now . Anuj will be 8 years older than Anup is now , when Anup is as old as his father. What are there ages now?.
The sum of ages of Anup and his father is 100. When Anup is as old as his father now , he will be 5 times as old as his son Anuj is now . Anuj will be 8 years older than Anup is now , when Anup is as old as his father. What are there ages now? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The sum of ages of Anup and his father is 100. When Anup is as old as his father now , he will be 5 times as old as his son Anuj is now . Anuj will be 8 years older than Anup is now , when Anup is as old as his father. What are there ages now? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of ages of Anup and his father is 100. When Anup is as old as his father now , he will be 5 times as old as his son Anuj is now . Anuj will be 8 years older than Anup is now , when Anup is as old as his father. What are there ages now?.
Solutions for The sum of ages of Anup and his father is 100. When Anup is as old as his father now , he will be 5 times as old as his son Anuj is now . Anuj will be 8 years older than Anup is now , when Anup is as old as his father. What are there ages now? 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 The sum of ages of Anup and his father is 100. When Anup is as old as his father now , he will be 5 times as old as his son Anuj is now . Anuj will be 8 years older than Anup is now , when Anup is as old as his father. What are there ages now? defined & explained in the simplest way possible. Besides giving the explanation of
The sum of ages of Anup and his father is 100. When Anup is as old as his father now , he will be 5 times as old as his son Anuj is now . Anuj will be 8 years older than Anup is now , when Anup is as old as his father. What are there ages now?, a detailed solution for The sum of ages of Anup and his father is 100. When Anup is as old as his father now , he will be 5 times as old as his son Anuj is now . Anuj will be 8 years older than Anup is now , when Anup is as old as his father. What are there ages now? has been provided alongside types of The sum of ages of Anup and his father is 100. When Anup is as old as his father now , he will be 5 times as old as his son Anuj is now . Anuj will be 8 years older than Anup is now , when Anup is as old as his father. What are there ages now? theory, EduRev gives you an
ample number of questions to practice The sum of ages of Anup and his father is 100. When Anup is as old as his father now , he will be 5 times as old as his son Anuj is now . Anuj will be 8 years older than Anup is now , when Anup is as old as his father. What are there ages now? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup