Aptitude - Problems on Ages - Discussion

Thank you for all the given explanation.

Please give me the correct explanation for understanding the calculation of the answer.

Arun's current age = 20.
Deepak's age = we don't know (x).
Therefore equation can be written with respect to current age as;
4x/3x = 20/x,
X = 60/4,
X = 15 years.

This is the simple one.
Present ratio of age is 4 : 3.
Then Aruns future age is 26 after 6 year.
Then 26 - 6 = 20.
Now 20 is from 4 * 5 Aruns present age.
Then Deepak's present age is 3 * 5 = 15.

Arun age : 4x
Deepak age : 3x.

Then, after 6 yrs Arun age will be 26 : 4x + 6 = 26.
Then, 4x = 20.
x = 5.
Since we need to find Deepak age : 3x = 3 * 5 =15.

Hello @Sohpia.

The derived answer is very clear. Just look following.

Arun age : Deepak age = 4:3.

Let age = x years.

Age of Arun = 4x years.

Age of Deepak = 3x years.

After 6 year Arun age = 4x years + 6 years = 26.

==> x = 5.

Hence age of Arun = 4x = 4*5 = 20 years.

Age of Deepak = 3x = 3*5 = 15 years.

After 6 years the age of Arun = 26.

Present age of Arun is 26-6 = 20.

=> 4/3 = 20/x.
=> x = 20*3/4.
=> x = 15.

Very simple friends, if I am wrong please suggest me:

Answer: Arun : Deepak = 4:3 (present).

6 year after = Arun age is 26.

Now let 6 year before Arun age is = 20.

So let us Arun's ratio is 4 = 20.

If Arun ratio is 1 then his age is 20/4 = 5.

Similarly,

Deepak ration is 3 = 5x3 = 15 (answer).

Hi to all.

Let the present ages of Arun & Deepak be "x" & "y".

Therefore, x/y = 3/4....equation 1.

Now, Six years after arun's age = 26.

i.e x+6 = 26 => x = 20 years.

Arun's present age = 20 years.

Substituting the value of "x" in equation....1 we get,

20/y = 3/4, on rearranging, we get, y = 20*3/4.

y = 15 years.

Let's consider Arun age = X;

And Deepak age = Y;

And the ratio of Arun and Deepak age = 4:3.

So, we have to take X/Y = 4/3;------------> equation 1.

Then, After 6 years, Arun age is 26;

So let's consider X+6 = 26 ==> X = 26-6 ==> X = 20------------->equation 2.

To solve on equation 1 =====> X/Y = 4/3 ==> 3X = 4Y.

Therefore 3X-4Y = 0------------>equation 3.

Let we know the x value of 20.

So we have to apply in equation 3.

= 3(20)-4Y = 0;
= 60-4Y = 0.
= -4Y = -60.

Y = 60/4.
Y = 15;

Deepak (Y) age is 15 years;