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:
327 comments Page 6 of 33.

DINESH BAWA said:   7 years ago
Answer is 2.

ratio
F:S
3:1 After 8 yr.
5:2

(check differance |3-5|=2 & |1-2|=1 we know that ratio diff. must be same bcoz father age +8 with son age also +8 yr).

F:S
9:3 - - - >(x3)
10:4 - - - > (x2)
diff. =1 because of +8yr.
i.e 1=8.

The resent age father 3x8=24 + after 8 yr = 32.
The present age son 1x8=8 + after 8 yr = 16.

F/S=32/16= 2.
(1)

Durga said:   6 years ago
Let Rohit present age = x.
Father's present age=x+3x=4x.

(Because they mentioned he is 3 times more than Rohit's age not 3 times Rohith age so it's not 3x but its x+3x=4x).

After 8 yrs means Rohith age=x+3.
Father age=4x+3.

Father age is 2 1/2 times means( 2*2+1)/2=5/2 times,
so 4x+8=5/2*(x+8),
8x+16=5x+40,
3x=24,
x=8.
After another 8 yrs.
Father age/rohith age=(4x+16) / (x+16)
Fa / ra=(48/24) [since x=8].

Therefore father age=2 * Rohith age.
So answer is 2.
(1)

Prateek said:   10 months ago
4x + 8 = 2.5x + 20.
1.5x = 12,
x = 12/1.5
x = 8.
24/48 = 1/2.
(1)

Ayush Pandey said:   8 months ago
Very clear, thanks all for explaining the answer.
(1)

Pranali said:   5 months ago
Yes, I agree with you @Janarthanan.
(1)

Prakash Chile said:   2 decades ago
Father is aged three times more than his son Ronit
if Ronit's age = x then Father's age = 3x
But Explanation Father's age = 4x
How is it possible?

Krithika said:   2 decades ago
It is explained 3 times more than his son. so 4x.

Vinoth said:   2 decades ago
How 4x ?

Arru said:   2 decades ago
How you got 5/2 (x+8)?

Mahesh said:   2 decades ago
It is specified in the problem father age two and a half times of ronit's age.


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