Aptitude - Problems on Ages - Discussion

Discussion Forum : Problems on Ages - General Questions (Q.No. 9)
9.
At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?
12 years
15 years
19 and half
21 years
Answer: Option
Explanation:

Let the present ages of Arun and Deepak be 4x years and 3x years respectively. Then,

4x + 6 = 26       4x = 20

x = 5.

Deepak's age = 3x = 15 years.

Discussion:
37 comments Page 2 of 4.

PRABIR said:   1 decade ago
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).

Javid Mir said:   1 decade ago
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.

Naren arya said:   1 decade ago
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.

Rashid Malik said:   10 years ago
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.

Divya said:   9 years ago
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.

Shiloh said:   9 years ago
Please give me the correct explanation for understanding the calculation of the answer.

Shiloh said:   9 years ago
Thank you for all the given explanation.

Atish said:   6 years ago
Consider son's age as 'x' and father's as 'y' so,

x + y = 60.

Then six years ago,

y-6 = 5(x-6).
y-6 = 5x-30.
y = 5x-24.

x+5x-24 = 60.
6x = 84.
x = 84/6 = 14.

So after 6 years 14 + 6 = 20 years old.

Varad kulkarni said:   5 months ago
Let Arun = A
Let Deepak = D

A/D = 3/4
4A - 3D = 0 ---------> (i)

After 6 years, Deepak.
D + 6 = 26.
thus D = 20.

Put this value of D in equation i.
thus , 4A = 60

Thus A = 15 years.

Kiruthika said:   1 decade ago
Thank you shree. You have cleared my doubt.


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