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 3 of 4.

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.

Mitt said:   9 years ago
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.
(4)

Msp said:   9 years ago
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.
(1)

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.

Deepika said:   8 years ago
There given that the present age of arun and Deepak are 4:3.

So first of all consider the aruns age as 4x and Deepak age is 3x.

And next there is given after 6 means then aruns age after 6 years means 4x+6.

And there is alredy given aruns age is 26 compare both ages i.e. 4x+6=26->4x=20->x=5.

Here we get x=5 then consider present age of Deepak age is 3x so substitute x value there the we get his age is 15 so answer is 15.
(1)

Kannika said:   7 years ago
Why not it is 11?

Because we calculated the x value using Arun's age after 6 years so when we got an answer as 15 we have to deduct that 6 years right.
(1)

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.


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