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.
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(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:
322 comments Page 13 of 33.
Vignesh said:
9 years ago
You can also solve this problem by taking son's age as x and father's age as y. First, y = 4x as it is 3 times 'more' than that of his son. Then after 8 years son's age will be x+8 and father's age will be y+8=5/2(x+8) after solving you will get x = 8 and y = 32. Then after 16 years let father be n times of son's age i.e y + 16 = n(x + 16).
or 32 + 16 = n(8 + 16)
[putting x = 8 and y = 32]
or 48 = 24n,
or n = 2.
Therefore father is 2 times his son's age after 16 years.
or 32 + 16 = n(8 + 16)
[putting x = 8 and y = 32]
or 48 = 24n,
or n = 2.
Therefore father is 2 times his son's age after 16 years.
Rahul said:
9 years ago
Anil got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Anil's sister was 10 years younger to him at the time of his marriage. The age of Anils sister is?
Solve this problem.
Solve this problem.
(1)
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.
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.
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.
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.
The value of x is ''8'' so 4 x is (4(8) + 16)/(8 + 16) and you get 48/24 = 2.
Kishan said:
9 years ago
@Maqsood nice explanation. Thank you.
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)?
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)?
Sonu said:
9 years ago
How is it 4x? I didn't get it please tell me clearly.
Vignesh said:
9 years ago
I didn't understand the last step of the explanation. Please clarify me.
Ismail said:
9 years ago
Your clarification is very simple, Thanks @Vaishu.
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