Aptitude - Problems on Ages - Discussion
Discussion Forum : Problems on Ages - General Questions (Q.No. 10)
10.
Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?
Answer: Option
Explanation:
Let Rahul's age be x years.
Then, Sachin's age = (x - 7) years.
 |
x - 7 | = | 7 |
| x | 9 |
9x - 63 = 7x
2x = 63
x = 31.5
Hence, Sachin's age =(x - 7) = 24.5 years.
Discussion:
48 comments Page 4 of 5.
Kannan said:
1 decade ago
How can the answer be a fraction, you all answered algebraically ; but age cannot be fraction na? if D is right option then Sachin and Rahul should have same date of birth to have the question true. If so answer should be E ?
Lakshmi said:
1 decade ago
Sachin : Rahul.
7 : 9.
x : x+7.
Just do cross mul then it becomes 7(x+7) = 9x.
7x+49 = 9x.
2x = 49.
x = 24.5.
7 : 9.
x : x+7.
Just do cross mul then it becomes 7(x+7) = 9x.
7x+49 = 9x.
2x = 49.
x = 24.5.
Madhuri said:
1 decade ago
Let sachin be x and rahul age be x+7 since he is older than rahul.
x/x+7=7/9
9x=7x+49
9x-7x=49
2x=49
x=24.5.
Therefore sachin age is 24.5.
x/x+7=7/9
9x=7x+49
9x-7x=49
2x=49
x=24.5.
Therefore sachin age is 24.5.
Bhoomika said:
1 decade ago
Hi,
Given ratio is sachin:rahul=7x:9x.
Sachin is 7yrs younger than rahul,
Then rahul age ie 9x will be,
9x=7x+7.
X=7/2.
Now, sachin age become 7x ie 7*7/2= 24.5.
Given ratio is sachin:rahul=7x:9x.
Sachin is 7yrs younger than rahul,
Then rahul age ie 9x will be,
9x=7x+7.
X=7/2.
Now, sachin age become 7x ie 7*7/2= 24.5.
V S Nayak said:
1 decade ago
Hello Everyone.
All answers and methods are correct but the way you guys solved in different way thats your intelligent.
All answers and methods are correct but the way you guys solved in different way thats your intelligent.
Ramya devi said:
1 decade ago
Let us assume sachin's age be x and rahul's age be x+7, then.
x/x+7 = 7/9.
9x = 7(x+7).
9x = 7x+49.
9x-7x = 49.
2x = 49.
x = 49/2.
x = 24.5 This is the simplest and easiest to solve.
x/x+7 = 7/9.
9x = 7(x+7).
9x = 7x+49.
9x-7x = 49.
2x = 49.
x = 49/2.
x = 24.5 This is the simplest and easiest to solve.
Sathish kumar said:
1 decade ago
This is a simplest way. Lets take x be sachin's age x+7 be rahuls age. Then,
x / (x+7) = 7/9.
=> 9x = 7x+49.
=> 2x = 49.
=> x = 24. 5 -----------> correct answer.
x / (x+7) = 7/9.
=> 9x = 7x+49.
=> 2x = 49.
=> x = 24. 5 -----------> correct answer.
Arun said:
1 decade ago
Ratio of their ages 7:9 ie, let the ratio of sachin & Rahul's present ages be 7x and 9x respectively and
As the question says Sachin is younger than Rahul by 7 yrs., we can write it as.,
9x = 7x + 7
2x = 7
x = 3.5
Therefore sachin's present age = 7x = 7*3.5 = 24.5 ans.
As the question says Sachin is younger than Rahul by 7 yrs., we can write it as.,
9x = 7x + 7
2x = 7
x = 3.5
Therefore sachin's present age = 7x = 7*3.5 = 24.5 ans.
Sai said:
1 decade ago
Akshatha I think you are answr is very good. Direct way to get answer.
Akshata said:
1 decade ago
Even if keep sachin's age as x years then rahul will be (x+7) yrs
So, it will be,
..x/x+7 = 7/9
9x = 7x + 49,
2x = 49,
x = 24.5
direct answer.
So, it will be,
..x/x+7 = 7/9
9x = 7x + 49,
2x = 49,
x = 24.5
direct answer.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers