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:
319 comments Page 12 of 32.

Prasanna said:   1 decade ago
Let us assume father age is x.

G. T father age is 3 times greater than rohit age so (x+3x) = 4x.

G. T after 8 years he would be two and half times of ronit's age so 2 (1\2) = 5\2 (2*2+1) /2.

After further 8 years.

(4x+8) = 5/2 (x+8).
8x+16 = 5x+40.
8x-5x = 40-16.
3x = 24.
x = 8.

After further 8 years.
(4x+8) = (x+8).

Add 8 then.

(4x+8+8) = (x+8+8).
(4x+16) = (x+i6).

Required ratio = (4x+16)/(x+16) = 48/24 = 2 (sub x=8).

Rashmi said:   1 decade ago
Hello guys my problem is this why 5/2 is multiplied with (x+8) not with (4x+8). When question is saying father's age would be two and half time of ronit age.

Jyothi sajjan said:   1 decade ago
Hi @Rashmi (4x+8)is cross multiply with 2(denominator)then it becomes 8x+16. and, 5(numerator) is multiplied with (x+8)then it becomes 5x+40 this is the correct manner.
Have a nice day.

Darshana said:   1 decade ago
How you got ratio (4x+16)/(x+16) ?

Can you explain the last step of ratio.

Chithra said:   1 decade ago
We have 4x+8 = x+8.

Further 8 years means we need to add another 8 on both side,
i.e.. 4x+8+8=x+8+8, which becomes 4x+16=x+16.

We can also write this as (4x+16)/(x+16). Then substitute the value of 8 in that we will get the answer.

Akhila said:   1 decade ago
Why this last step = (4x+8+8)/(x+8+8) should be divisible only?

Madan said:   1 decade ago
Again Repeat in question after 8 year find then you should take equal then put the value of x then find the value of 2.

Vinay said:   1 decade ago
Why 5/2 is multiplied?

With (x+8) not with (4x+8). Someone above said to cross multiply 2 *(4x+8) but I dint get it.

Doll said:   1 decade ago
We can say that father age = y(ronits age).
So (4x+16)= y(x+16).

i.e (4x+16)/(x+16) = y.

Here we know x value.
So we can calculate y value.

Ibbu said:   1 decade ago
Where is 5\2 coming from?


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