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 1 of 4.

Varad kulkarni said:   4 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.

Bhanu said:   1 year ago
Let Arun's present age be 4x and Deepak's age be 3x.
4x + 6 = 26,
4x = 20,
x = 5.
Deepak present age = 3x = 3(5) = 15 years.
(2)

Anke Lakshmi said:   1 year ago
Let Arun's age be =x.
Let Deepak's age be =y.

Given:
x/y = 4/3 ------->equation 1

After 6 years:
x + 6 = 26 ------> equation 2

Solving equations 1 and 2 we get,
20/y = 4/3.
4y = 60.
y = 15.
(6)

Shayan math said:   2 years ago
Deepak = 4x + 6 = 26.
= 26 - 6 = 20.
4x = 20.
x = 5.

Arun = 3x.
= 3 x 5.
= 15 (ANS).
(5)

Bini said:   2 years ago
Let x is age of arun and y is age of deepak

Since, X/Y =4/3
then 3X =4Y
Finally X = 4/3Y ---> Eqn 1

After 6 years age of arun will be 26,
X + 6 = 26 ----> Eqn 2
Substitute Eqn 1 into Eqn 2.
4/3Y + 6 = 26
4Y + 18/3 =26
4Y + 18 = 78,
4Y = 60.
Therefore Y = 15.
(2)

Pavi said:   5 years ago
Gud morning.

Arun: Deepak=4:3 [at present]
So,let=4x:3x.
Gn that after 6 years arun age is 26,
So,
4x = 26.
4X = 20.
X = 5.
Deepak age = 3x.
=3 * 5
=15.
(1)

Gargee said:   5 years ago
By given information 4:3 = 4=20.
hence 20/4=5.
therefore 5*3=15(ans).
(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.

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)

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)


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