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 3 of 5.

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.

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.

Bhanu said:   1 year ago
Let Sachin's age be x.
Let Rahul's age be y.
y = x + 6,
x/y = 7/9,
x/(x + 7) = 7/9,
9x = 7x + 49,
2x = 49.
x = 24.5 years.
(3)

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.

Sash said:   1 decade ago
Let the age of Sachin be x
Then,Rahul's age wil be (x+7)
Implies x/x+7=7/9
9x=7x+49
2x=49
Therefore x=24.5,Sachin's age

Avinash said:   1 decade ago
Another method is:

Their age ratio is 7:9, and sachin is 7 year younger

7x + 7 = 9x

2x = 7

x = 3.5

7 X 3.5 = 24.5

Satish choudhary said:   1 decade ago
7:9 difference in the ratio is 2. And we know that the diff. of age 7.

7/2 we get 3.5.
3.5*7 = 24.5.

So easy.

Affrin said:   1 decade ago
"lesser age" represent --> younger
"older" --> it represent the current age

Bharath said:   7 years ago
Let Sachin's age be ='x'.
And Rahul's age be =' x+7'.

x/(x+7) = 7/9,

9x = 7x + 49,
2x = 49,
x = 24.5.
(4)

Suresh said:   3 years ago
Sachin. Rahul.

(X-7). X.
7 9.
9x-63=7x.
9x-7x=63.
2x=63.
Rahul=x=63/2=31.5.
Sachin=31. 5-7. 0=24.5.
(3)


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