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:
326 comments Page 33 of 33.
Kolimi said:
5 months ago
Present ages F : S = 4:1(because father is 3 times more than son which is 4-1 =3)
Father = 4R.
Son = R.
After 8 years
F: S = 2.5 : 1.
(4R + 8)(R+8) = 2.5
4R + 8 = 2.5(R + 8),
4R + 8 = 2.5R + 20,
4R - 2.5R = 20 - 8.
1.5R = 12.
R=12/1.5 = 8.
If R is 8 then 4R is 4(8)= 32, that is, father's age after 8 years.
So, after 16(that is, after 8 years + after 8 years).
F = 32 + 16 = 48.
S = 8 + 16 = 24.
F:S = 48:24 = 2:1.
That is Father's age 2 times more than son after another 8 years.
Father = 4R.
Son = R.
After 8 years
F: S = 2.5 : 1.
(4R + 8)(R+8) = 2.5
4R + 8 = 2.5(R + 8),
4R + 8 = 2.5R + 20,
4R - 2.5R = 20 - 8.
1.5R = 12.
R=12/1.5 = 8.
If R is 8 then 4R is 4(8)= 32, that is, father's age after 8 years.
So, after 16(that is, after 8 years + after 8 years).
F = 32 + 16 = 48.
S = 8 + 16 = 24.
F:S = 48:24 = 2:1.
That is Father's age 2 times more than son after another 8 years.
(3)
Ayush Pandey said:
5 months ago
Very clear, thanks all for explaining the answer.
(1)
Aswini kumar Jena said:
4 months ago
How to add 8 more in a 16 ratio?
(3)
SumitPandey said:
2 months ago
@All.
Here is the trick to solve this;
Father : Son.
4 : 1.
And +8 years, according to the question, it becomes 5/2.
So,
5 : 2.
And again 8 years. So in the above ration there is 1 increment in 8 year it means for the next 8 year 1 more increament then we get.
6 : 3 which is = 2(Ans).
Here is the trick to solve this;
Father : Son.
4 : 1.
And +8 years, according to the question, it becomes 5/2.
So,
5 : 2.
And again 8 years. So in the above ration there is 1 increment in 8 year it means for the next 8 year 1 more increament then we get.
6 : 3 which is = 2(Ans).
(13)
Pranali said:
2 months ago
Yes, I agree with you @Janarthanan.
(1)
Yella Subba Pragada Rao said:
3 weeks ago
4X+8 = (X+8) * 2.5,
4X+8 = 2.5X + 20,
1.5X = 12,
X = 8
If X=8, Then Father age is 32 (Four times X)
Now, After Eight years Ronith age is 16, Father age is 40 which is 2.5 times of Ronith age.
Later, After further Eight years Ronith age is 24, Father age is 48.
That means Father age is Two times of Ronith age.
So Answer is Option A) 2 times.
4X+8 = 2.5X + 20,
1.5X = 12,
X = 8
If X=8, Then Father age is 32 (Four times X)
Now, After Eight years Ronith age is 16, Father age is 40 which is 2.5 times of Ronith age.
Later, After further Eight years Ronith age is 24, Father age is 48.
That means Father age is Two times of Ronith age.
So Answer is Option A) 2 times.
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