Aptitude - Problems on Ages - Discussion

Let son age = x.
Father age = y.

X + 3x = y( acc to 1st statemnt) ---> eq1
5/2(X+8) = y+8.
5x+40 = 2y+16.
5x-2y=-24 ---> eq2.

Solve eq 1 and 2 we get;
X=8 then y = 24,
After 16 years,
Son age 24 & father age 48.
Therefore 2 times.

In the question, son's age is 2 (1/2) age.

So, 2x1/2 is 5/2fraction form.

Why 5/2 is used? Please explain to me.

Let Ronit's present age be x years. Then, father's present age =(x + 3x) years = 4x years.

2(4x + 8) = 5(x + 8).
8x + 16 = 5x + 40.
3x = 24.
x = 8.
Hence, required ratio = (4x + 16) = 48 = 2.
Then (x + 16)24.

F:S
3:1 *3 = 9p:3p
5:2 *2 = 10p:4p
1p = 8years.
5 * 8 + 8 : 2 * 8 + 8.
48 : 24.

While comparing both father is 2 times more than the son.

Father aged 3 times more than his son Ronit", everyone would think Father's age is triple of Son's age, right?

How to assume this? Anyone, please explain me clearly.

x = 3+y,
x = 5/2y,
5/2 = 3+y,
y = 5/2 - 3.
y = 2.5.

@All.

The correct answer is B.

Here is the explanation for the solution:

Let's first represent Ronit's current age as "R" and Father's current age as "F."

According to the information provided:

1. Father's age is three times more than Ronit's age: F = 3R
2. After 8 years, Father's age would be two and a half times Ronit's age: F + 8 = 2.5 * (R + 8)

Now, let's solve the equations to find the current ages of Ronit and his Father:

From equation 1, we have F = 3R
Substitute this value of F in equation 2:
3R + 8 = 2.5 * (R + 8)
Now, let's solve for R:
3R + 8 = 2.5R + 20,
3R - 2.5R = 20 - 8
0.5R = 12,
R = 12/0.5.
R = 24.

Now that we know Ronit's current age (R = 24), we can find Father's current age using equation 1:
F = 3R.
F = 3 * 24.
F = 72.
After further 8 years, Ronit's age will be:
Ronit's age after 8 years = R + 8 = 24 + 8 = 32.

Father's age after 8 years will be:
Father's age after 8 years = F + 8 = 72 + 8 = 80.

Now, let's find out how many times Father's age will be of Ronit's age after further 8 years:
(Father's age after further 8 years)/(Ronit's age after further 8 years) = 80/32 = 2.5.
After a further 8 years, Father's age will be 2.5 times Ronit's age.

As someone has doubts on 5/2.

As it is mentioned in the question, the father would be (two and a half time's) Ronit's age.
So, it is in the form of a mixed fraction.
We write one and a half is 1/2
So 2 and a half is = 2 1/2,
So, 2*2+1/2,
= 5/2.

@All.

Here, If x = 8 then 3 times more is 24 which is the father's age and after 8 more years x = 16 and the father's age will be 32 which is not 2 and a half times 16..
So, 3x is correct and x + 3x is wrong.
So, the correct answer will be 2.5.