Aptitude - Problems on Ages - Discussion

I can't understand this problem the second step is very confusing.

Someone help me to get it.

(4x+16)/(x+16)=(4(8)+16)/(8+16)) = 48/24 = 2years
We must submit the 'x' value in 'x' place.
X = 8
So, put 8 in x value.

Then you will get the answer.

Father is Tree times more than his son.

i.e. Ronit age is also considered while calculating his father age so, Ronit age+ 3*Ronit age = His father's age. Here " Father more than" this word is important.

If Suppose Question is as Father's age is three time the Ronit age then & then only it 3X.

2. Two & half means 2+1/2= 5/2.

Good luck!

Hi friends,

It's three times more that, that is 3x not 4x.

Guys! It's three times more that mean 4x if it would be three times then we used 3x.

@Rekha.

2 and half times means 5/2 times.

How you are getting 5/2?

Which has 1/2?

Let the age of son be x then age of father will be 4x so we have ratio of father and son equals to 4x:x again after 8 years this becomes 5/2x:x as we all know that difference of age remains same then to make it same multiply above by 2 so that it becomes 5x:2x, therefore in 8 years 4x becomes 5x hence x is equal to 8 putting the value we get the age equal to 40 and 16 respectively and after 8 more years it will become 48 and 24 and hence father's age will be twice of son.

@Yalleswari.

As per the statement, x + 3x.
After 8 years, he would be 2 and a half times of his son.

So, x + 3x + 8 = x + 8.
4x + 8 = x + 8.
(4x + 8 ) = 5/2(x + 8).

We get, 8x + 16 = 5x + 40 => 3x = 24.
x = 8.

After further 8 years,

So add 8 to the equation 4x + 8 + 8 = x + 8+ 8.
4x + 16 = x + 16.

So the ratio is, (4x + 16)/(x + 16) = 48/24.
=> 2 years.

How required ratio 4x + 16/x + 16 come?