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 12 of 13.

Viji said:   1 decade ago
Thank you Faruk and Neha. Nice explanation.

Siri said:   1 decade ago
Thank you Faruk very well explained.

Machendra said:   1 decade ago
Clearly giventhat, 6 years ago the ratios of ages of kunal and sagar was 6:5, so we have to add 6.

Bharathi said:   1 decade ago
The present age of sagar is 8 years. We have to reduce six years.

Justadream said:   1 decade ago
Sagar's present age = (5x + 6) = 16 years.
how is that why it is not 20
as he wants the present not past anyone tell me please

Neha said:   1 decade ago
Six years ago the ratio was 6:5.

So, their ages were 6x and 5x six years before.

Now to know their present ages we will add 6 and therefore their present ages are (6x+6) and (5x+6).

A/Q After 4 years, the new ratio will be 11:10.

So, we will add 4 to their present ages i.e. (6x+6) and (5x+6).

We get (6x+6+4) and (5x+6+4).

Jasika said:   1 decade ago
(x-6)/(y-6)=6/5......as 6 years ago ratio is 6/5
(x+4)/(y+4)=11/10...as after 4 years ratio is 11/10
by solving by solving y=4 years...den why it is wrong?

Vinod said:   1 decade ago
10(6x + 10) = 11(5x + 10)
just explin the next step
5x = 10

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?

Chanti said:   1 decade ago
Thank you Faruk.


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