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?
16 years
18 years
28 years
24.5 years
None of these
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 2 of 5.

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.

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.

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.

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.

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.

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.

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.

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 ?

Balvendra singh said:   1 decade ago
7x + 7 = 9x.

So x = 7/2 = 3.5.

Now sachin age is 3.5x7 = 24.5.

Vinay said:   1 decade ago
How can I do this please show the steps. For the following problems.

1) @Sanjay is now 1/2 as old as his brother then. What is the present age of each boys?


Post your comments here:

Your comments will be displayed after verification.