Aptitude - Problems on Ages - Discussion

After getting x=2.

In Q, we have to calculate the present age of Sagar.

Why it's 5x+6?

Is it 6 years ago na?

It must be.

5x = 5 (2) =10.

I'm confused someone help me.

6 years ago Kunal's age was 6x and 6 years ago Sagar's age was 5x.

The ratio 6 : 5 is given here for 6 years ago. Hence, we have to add 6 in the ratio (i.e., 6x + 6 and 5x + 6).

Note (Key point of the solution): If ratio should be given for present then we have to subtract 6 instead of add. But, the ratio is given here for 6 years ago.

Four years hence, Kunal's age will be 6x + 6 + 4 and Sagar's age will be 5x + 6 + 4.

Also, the ratio of their ages will be 11 : 10.

Then, 6x + 10/5x + 10 = 11/10

By solving this we get x = 2.

Hence, 6 years ago Sagar's age was 5x = 5x2 = 10 years and for the present, we have to add 6.

So, the present age of Sagar is 10 + 6 = 16 Years.

Ago means we have to subtract 6 then why 6 is added?

Please clear my doubt.

Always we need to substract if it is given ago.

So mounika's answer is absolutely correct. The solution they gave is wrong.

How did you write the expression (6x+4) from the ratio explain it?

Why 6 is added? It should be subtracted.

Yes same here. They have clearly given in the important formula section that when statement contains the word "ago", have to subtract the number of years.

I can't understand this problem. Why they are adding 6 instead of subtracting?

Why we add 6 years instead of subtracting in some cases if we got 6 we are subtracting why in this we are adding 6?

Six years ago : x-6/y-6 = 5/6.

5x-30 = 6y-36.

5x-6y = -6-----equation 1.

Four years after: x+4/y+4 = 11/10.

10x-11y = 11y+44.

10x-11y = 4------equation 2.

By solving equations 1 and 2 we get y = 16.