Aptitude - Problems on Ages - Discussion

10(6x + 10) = 11(5x + 10)
just explin the next step
5x = 10

(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?

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).

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

The present age of sagar is 8 years. We have to reduce six years.

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

Thank you Faruk very well explained.

Thank you Faruk and Neha. Nice explanation.

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 conditin :-

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

so from I & II we got :-

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

1st step:

Six years ago, the ratio of the ages of Kunal & Sagar was 6 : 5 means 6x & 5x respectively i.e. 6x+6/5x+6 (added hear six because given "Six years ago").

2nd Step:.

Four years hence, means after 4 years, the ratio will be 11/10.

So we add hear 4 which mean.

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

6x+10/5x+10 = 11/10.

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

60x+100=55x+110.

60x-55x=110-100.

5x=10.

X=2.

3rd step:

Sagar's present age = 5x+6.

=5 (2) +6.

=16 years.

Hope you understand friends.