Aptitude - Problems on Ages - Discussion

Discussion Forum : Problems on Ages - General Questions (Q.No. 7)
7.
Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?
16 years
18 years
20 years
Cannot be determined
None of these
Answer: Option
Explanation:

Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.

Then, (6x + 6) + 4 = 11
(5x + 6) + 4 10

10(6x + 10) = 11(5x + 10)

5x = 10

x = 2.

Sagar's present age = (5x + 6) = 16 years.

Discussion:
128 comments Page 13 of 13.

Supriya said:   6 years ago
6:5 cross multiple both ratios.

11:10(difference)= 1 * 10 (time between ratios)
55 ~60 = 5
So if 5= 10.
1=5.

Now multiple with the past age ration you will get;
K = 12 , S=10.

And for Sagar's present age add 6yrs you will get 16 years.

Arianos3 said:   6 years ago
No need to crack ur head just read the question, write the equation and solve it (question speaks itself):

Ist condition:-

k-6/s-6 = 6/5 ..................I

IInd condition:-

k+4/s+4 = 11/10 ...................II

So from I & II we got:-

k = 18
And s= 16 (required answer...)

Mauni said:   5 years ago
Best solution, Thanks @Amrita.

Pallavi said:   5 years ago
@All.

By using the Ratio method:

K S (yrs)
6 : 5 ( -6).. 6 yrs ago so minus.
11 : 10 (+4)... After 4 yrs so add 4.
5 ratio = 10... The vertical difference between both the ratio is 5 i.e equal to the sum of the year (add yrs even if signs are different).

So, 1ratio = 2.
Then 2 * 5= 10 ... Sagar ratio is 5.
10+6= 16 yrs --- Add 6 for present age.

Rohini said:   5 years ago
Thank you @Faruk.

Sreekanth said:   5 years ago
No @Faruk.

He takes six year ago as 6x.

If we take present age as x=5.
Then six years ago in 6x we assign x=5 and it becomes 30.

How it will be right?

Swanali lakahane said:   5 years ago
I don't know why 6 is added here, because here it is given ago.

So, please tell me, anyone.

Jashobanta Nayak said:   5 years ago
Here 'ago' is only mentioned for "hence", so 6 will be added.


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