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?
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 27 of 32.
Dharanisree said:
6 years ago
How 5/2?
Akshay said:
6 years ago
How 48/24 came?
Please tell me.
Please tell me.
Priya said:
5 years ago
Why we are adding the 16 in the step 4x+16/x+16, sir.
4x+16/x+16 how to get this step. Please explain sir.
4x+16/x+16 how to get this step. Please explain sir.
Stark said:
5 years ago
I got the answer as two and one-fifth times.
Pratheeksha said:
5 years ago
How 5/2? Can anyone explain.
Manmeet said:
5 years ago
The answer should be 2.5.
Neha said:
5 years ago
Let's Ronit present age be x.
Father's present age =3x.
After 8 yrs,
Ronits age = x+8.
Fathers age =3x+8.
3x+8=2.5(x+8)
X=24yrs.
Fathers age = 3x =3*24=72yrs
After a further 8 yrs,
Fathers age =72+8=80yrs,
Ronit's age=24+8=32yrs.
No.of times father age to Ronit age =80/32.
Then we get 2.5times(ans).
Father's present age =3x.
After 8 yrs,
Ronits age = x+8.
Fathers age =3x+8.
3x+8=2.5(x+8)
X=24yrs.
Fathers age = 3x =3*24=72yrs
After a further 8 yrs,
Fathers age =72+8=80yrs,
Ronit's age=24+8=32yrs.
No.of times father age to Ronit age =80/32.
Then we get 2.5times(ans).
Durga said:
5 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.
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)
Pratiksha said:
5 years ago
@All.
Here father age is 3times so the last equation is wrong.
Here father age is 3times so the last equation is wrong.
Rebecca said:
5 years ago
Why do we have to add 8 to 5/2 of x yet it was after 8 years?
So, 4x+8 =5x/2.
So, 4x+8 =5x/2.
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