Aptitude - Problems on Ages - Discussion

It is clearly given that we have assumed the ages before six years and now we want the ages after 4 years of the present age. So we have to bring the ages to present age .so for that we have to add 6 to the ages that were before 6 years and we have to add 4 after that to calculate age after 5 years.

Ages before 6 years were 6x and 5x.
So present ages will be (6x+6)and (5x+6).
Ages after 4 years will be (6x+6)+4 and (5x+6)+ 4.

You are right @Pradnya.

I understand it now, thank you.

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.

In this question, why we add 4 to both numerator and denominator?

Guys, there is a shortcut for this method.

Let us take given options into consideration.

First, let's take option (a) that is 16 years (present age).

Given in the question that six years ago the ages of Kunal and Sagar is in the ratio (6:5) and we are asked to find the Sagar present age!

Hence 16-6 (six years ago) = 10.

10 is the multiple of 5 (Sagar age is 5x).

So condition one is satisfied.

In the next statement, they have given four years hence the ratio would be (11:10).

Meaning the Sagar's age is multiple of 10.

Hence (present age +four years).

We have taken option A into consideration that is 16.

So (16+4=20).

Which is a multiple of 10.

There you go both the conditions are satisfied and you have your answer.

it is clearly said that on above question 6 years ago means 6 years back so we subtract 6 from original ages;

So x-6/y-6 =6/5,
5x-30=6y-36,
then we have 5x-6y=-6--> (1)
As like they said hence after that means add 4 years from present;
So x+4/y+4=11/10,
10x+40=11y+44,
then we have 10x-11y=-4--> (2)
From 1 and 2 we can solve,
2 ( 5x-6y=-6)
10x-11y=-4 we can subtract
....................................
-y = -16 so clearly y = 16 Ans.

False answer because ago indicate minus and hence or later indicate plus.

Anwser is E.

Because the given ratio not verified.
let present age 16 years after five years 21 (16+5).
21 not multiple of 10.
and also 16 not multiple of 5.

(x-6)/(y-6)=6/5 ---> i
(x+4)/(y+4)=11/10 ---> ii
By solving i and ii , we get y=16.

It is 6 years ago, then how you guys added it? kindly read it.