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 7 of 13.

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?

Manikanth said:   1 decade ago
For some questions we are taking ago as + sign and some questions we are taking -sign could you please explain which sign we have to take? and why?

Satyajeet said:   1 decade ago
The word ago means before. So, we should subtract.

Hence, the equation should be.

(6x-6)+4/(5x-6)+4 = 11/10.

Please, Explain me, if I am wrong.

Prabhakaran said:   1 decade ago
(m-6) = (n-6)(6/5) --> 1.
(m+4) = (n+4)(11/10) --> 2.

Equating, 'm' we get,
(n-6)(6/5) + 6 = (n+4)(11/10) - 4.

Then n = 16 = Sagar's age.

Sujitha Barmavath said:   8 years ago
Data is insufficient. When It says 'n' years ago then It should be written like 'x-n' but not 'x+n'. Formula itself says '-' for n years ago.

Jatsho said:   3 years ago
The present age is not given.

So, the Present age = past age + years ago.

6x-6 means past age (6 years ago) and 6x+6 means Present age.
(5)

Khaisar said:   1 decade ago
I've solved by taking present ages as x and y.
(x-6)/(y-6)=6:5
(x-2)/(y-2)=11:10
by solving these i got ans as 10

What is wrong in it?

Sanjay said:   1 decade ago
Also why can't the age of sagar be 20 yrs at present, as we need to include 4 yrs from the question to get the age of sagar at present?

Niranj said:   1 decade ago
@Faruk explained clearly, see it @Bhuvana.

Here we are calculating the present of Sagar, so instead of subtraction they used addition.

Karthik said:   9 years ago
I think (6x+10) means bringing the ages from past to present and then it was taken as present condition and +4 for the future age.


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