Aptitude - Problems on Ages - Discussion

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.

Well in question they mentioned six years ago! so (6x+6) / (5x+6).

But they didn't mention that after 4 years from present age or from six years ago I hope the data given is insufficient.

Why we subtract 6 years from answer. Because we find answer for 6 years ago and also 4 years hence?

We are supposed to calculate his present age so before 6 years his age be (6x) so after 6 years his age turns to (6x+6). They also mentioned four years hence so it is (6x+6) + 4.

It makes me confuse. Here in the question said 6 years ago. It means deduction?

Put it this way. The ratio of their ages 6 years ago was 6:5 and then come 6 year ahead to present time so there will be an addition of 6 years and then from this present moment again moving 4 years ahead that means adding 4 years. Hence the two additions.