Aptitude - Problems on Ages - Discussion

Let Kunal age be 'x' and Sagar age be 'y'.

6 years ago,
Kunal age is (x-6) years and Sagar age is (y-6) years and their ratio will be 6/5 (given).

x-6/y-6 =6/5 --eq 1.

According to second statement,

x+4/y+4 = 11/10 --eq 2.

Solving these two equations:

5x-30=6y-36 (eq3) and 10x+40=11y+44 (eq 4).

Solving eq 3 and 4 as.

10x+40=11y+44.
-2 (5x-30=6y-36).

------------------------.

10x+40=11y+44.
-10x+60=-12y+72.

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100= -y+116.
y= 16 years.

@Swanali.

6 is added because it clearly says that six years ago their age was 6:5. And we are asked to find present ages so we have to add 6 on their age.

@Khaisar.

The correct answer after solving it was:

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

10(6x+10) = 11(5x+10),
60x+100 = 55x+110,
60x-55x = 110-100,
5x = 10,
x = 10÷2,
x = 5.

Sugar current age = 5x + 6,
= 10+6,
= 16.

Answer=16

My answer will be simple and easy.chexh this out:

6 years ago the ratio is 6x/5x(since a/b so we should take it as ax/bx).
Now the present ages are 6x+6/5x+6(since 6x/5x are the ages 6 years before),
After four years to the present age so (6x+6)+4/(5x+6)+4 = 11/10,
60x+100 = 55x+110,
5x = 10,
X = 2.

Since the present age of the second guy is 5x+6.
5(2)+6.
=16(final answer).

Present ages of Kunal is x and sagar is y.
Six years ago,

X-6/y-6=6/5.

After solving this equation I get,
5x-6y=-6.

And 4 year hence,
X-2/y-2=11/10.
After solving this equation I get,
10x-11y=-2.

Now solving this two-equation.

Sagar age is 10 year at present.

Why we have added 6 years instead of deducting as it is given that 6 years ago?

What is the differece between "ago" and "hence" if at the both times 6 was added?

Is it sumthing like 6x-(-6)????

In case of "ago" we always subtract the number of year.. But in the given answer.. its wrong I think.... as in next question on page 3 in case of "ago"... you also subtract the number of years.

It is clearly said that 6 years ago their age was 6:5, so and hence their present age will be (6x+6)/(5x+6) and hence after 4 years you have to add another 4.