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 20 of 32.

Husain SR. said:   9 years ago
Here, 2 and a half means 2.5.

So, 5/2 = 2.5.

Example: 3.5 means 7/2. Hope you get it.

Ammulu said:   9 years ago
Thanks @Vaishu. You explained it very clearly. :).

Ismail said:   9 years ago
Your clarification is very simple, Thanks @Vaishu.

Vignesh said:   9 years ago
I didn't understand the last step of the explanation. Please clarify me.

Sonu said:   9 years ago
How is it 4x? I didn't get it please tell me clearly.

Selva said:   9 years ago
if Father is aged three times more than his son Ronit means, 3x + x = 4x then After 8 years, he would be two and a half times of Ronit's age.

In that above 'he' represent Ronit's father which means
(3x + 8) = 5/2(x + 8) right?

Then, how it will be (4x + 8) = 5/2(x + 8)?

Kishan said:   9 years ago
@Maqsood nice explanation. Thank you.

Arpitha said:   9 years ago
It's so simple!

The value of x is ''8'' so 4 x is (4(8) + 16)/(8 + 16) and you get 48/24 = 2.

Kavana said:   9 years ago
A is 2 years older than C and B is 2 years younger than C. The ratio of A's 6 years ago and B's 8 years ago is 6 : 5. Find C's present age.

COOLCALM said:   9 years ago
Father F and Rohit R.
So, F = 3R + R = 4R.
After 8 years,
F + 8 = 2 1/2 (R + 8) means, F + 8 = 5/2 (R + 8).

So, 2(F + 8) = 5R + 40,
2(4R + 8) = 5R + 40,
8R + 16 = 5R + 40,
3R = 24,
R = 8.

Rohit's present age = 8 years.
After 16 years of present day (8 + 8).
Ratio would be F + 16/ R + 16.
So, 4R + 16/R + 16,
4(8) + 16/8 + 16 = 48/24 = 2.


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