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 3 of 13.

Nitya said:   2 decades ago
I just can't understand please explain how (6x + 6) + 4 = 11 / (5x + 6) + 4 = 10.

Vinod said:   1 decade ago
(k-6)=(6/5)(s-6)-first statement
k+4=(11/10)(s+4)- second staement..is this eqn right..? this s how i calculte the problems based on ages i.e by writing an eqn for each statement and solving it..! i m not getting d answer by solving this two eqns..! wats wrong in it..?

Giri said:   1 decade ago
I dont think what vinod said is right....

Faruk has clearly explained...6 years

hence i.e.,6 yrs before the ages pf kunal and sagar is 6x and 5x respectively...

So present ages of both are 6x+6 and 5x+6(since present,add 6 years)..you'11 get it..

Chanti said:   1 decade ago
Thank you Faruk.

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?

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

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?

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).

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

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


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