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:
322 comments Page 21 of 33.

Mantsss said:   1 decade ago
@Ibbu.

As said in the problem itself.,
father is two and a half years older than his son after 8 years.

So.,

2*(1/2)=((2*2)+1)/2=5/2.

Or you can think as - five divided by 2 always equals to, two and a half...!!!

Got it...??? :).

Nebin said:   1 decade ago
Present age s=24, f=72(3 times more than).

After 8 years s=32, f=80(now two and half times).

Again after 8 years s=40, f=88(now 2.2 times). I got like this please give correct answer..is it correct or not?

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

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.

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.

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.

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

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.

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

Can you explain the last step of ratio.

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.


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