Aptitude - Problems on Ages - Discussion

Discussion Forum : Problems on Ages - General Questions (Q.No. 1)
1.
Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?
2 times
1 times
2
3 times
4
3 times
Answer: Option
Explanation:

Let Ronit's present age be x years. Then, father's present age =(x + 3x) years = 4x years.

(4x + 8) = 5 (x + 8)
2

8x + 16 = 5x + 40

3x = 24

x = 8.

Hence, required ratio = (4x + 16) = 48 = 2.
(x + 16) 24

Discussion:
319 comments Page 30 of 32.

Swaraj said:   6 years ago
How 5/2 came? Can anyone explain.

Samanth kumar said:   6 years ago
How the ratio is 3:1?

It is 4:1 since in question it is clearly mentioned that "3 TIMES MORE THAN RONIT ".

Then only you'll get answer, never forget this if in question it says 3 times than another ratio will be 3:1, if it says 3 times more than or larger than other you should take 4:1.

Waghmare Jaydip said:   6 years ago
Hot come 5/2? Please tell me.

Rishi said:   6 years ago
Thanks for the explanation.

Tarunkumar Prajapati said:   6 years ago
Step 1: Father is aged three times more than his son Ronit.
Let's assume Son's Age as X,
Father's Age = X+3X = 4X.

Step 2. After 8 years, he would be two and a half times of Ronit's age.
4X+8 = 2.5(X+8),
4X+8 = 2.5X+20,
4X-2.5X = 20-8,
1.5X = 12.
X = 12/1.5.
X = 8.

So, Son's Age (X) = 8 and Father's Age 4X = 4(8) = 32 [We found the actual Age].

Now add 8 years: Son's Age = X+8 =8+8 =16 and Father's Age = 4X+8 =32+8 =40.

After a further 8 years, how many times would he be of Ronit's age?
Now add 8 years: Son's Age = 16+8 = 24 and Father's Age = 40+8 = 48.

So Correct answer is 2 times.

Ashok said:   6 years ago
How you got ratio (4x+16)/(x+16)?

Can you explain the last step of ratio?

Waqas Raza said:   6 years ago
Couldn't understand (4x+16/ x+16) = 2? what's the logic behind this?

Janmaijay said:   6 years ago
How two and a half times can be written like 5/2 it must be 2/5?

Varun said:   6 years ago
Why we have to add x=8 ? I think we have to substitute the the value of x. Can anyone explain?

Dharanisree said:   6 years ago
How 5/2?


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