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 4 of 4.

Arif ibrahim said:   1 decade ago
Well method Naveen and it's easy too.

Aman said:   1 decade ago
Well said Naveen. Your's is a better method.

Simmi said:   1 decade ago
Why not 19. 5. As x=5. Hence x=3y/.

Naveen kumar said:   1 decade ago
Hi friends...Here is a simple method to solve this problem...

Let arun age be x and deepak age be y

The ratio of ages are x/y = 4/3...

from the above equation we can write.

x=4y/3......(1)

given that after 6 years arun age will be 26 years..

x+6 = 26....


4y/3 + 6 = 26.
4y/3 = 20.
4y = 60.
y = 15.

Hence,deepak age is 15 years..
susbstitute the x value from eq (1).

Mrs pallavi said:   1 decade ago
Really simple and clear logic behind it !

Read problem carefully,

2nd statement is very imp.
as per 2nd statement arun's current age is=(26-6)=20 yrs
now 1st statement ,
ratio of age 4:3
4 is for arun age
therefore 20/4=5
now deepak current age as per ratio 5*3=15 year

Have nice day!

Shree said:   1 decade ago
Let y is the present age of deepak
take ratio as 4X/3X
aftr 6 yrs, (4x+6)/(3x+6)=26/y
first consider numerator,
4x+6=26
4x=20
x=5
now consider
3x=y
3(5)=y
y=15 (No need to add 6 bec present age only they have asked)

Sophia said:   2 decades ago
The answer derived is not very clear. Most descriptions required before the last step.


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