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 14 of 32.

Haritham said:   1 decade ago
How it is 4x ?

Kinnu said:   1 decade ago
Hey guys I had a simple logic for you.
Father=three times more of his son.

After 8 years father is 2 and a half of his son it means there is a reduce of 1/2.
So for another 8 years there will be a constant reduction of another half i.e; 2 times of his son.

Magesh said:   1 decade ago
I am so confused, after I did not get the answer.

Please anyone explain this problem clearly.

Abhi said:   1 decade ago
Nothing to confuse .. Let take sons age as x. Then father age will become 4x as given in question (father's age is three times more than sons age read carefully its not fathers age is three times to sons age.. If three times to sons age means father age will become 3x).

After 8 yrs father age is 2 1/2 of sons age..So,

4x+8 = 2 1/2(x+8).
4x+8 = 5/2(x+8).
2(4x+8) = 5(x+8).
8x+16 = 5x+40.
3x = 24.
x = 8.

Harry said:   1 decade ago
Father's age should be 3x and not 4x as some people are saying. It says Father is aged three times more than his son Ronit.

So, it should be x and 3x and not x+3x.

Aritra said:   1 decade ago
For all those who have a doubt how 5/2 came.

2+1/2 = 4/2+1/2 = 5/2.

Seema said:   1 decade ago
Can any one tell help me to solve (4x+16) / (x+16) this problem?

Simmo said:   1 decade ago
Hi @Seema.

x = 8.
(4x+16)/(x+16) = 4*8+16.

= 24+16.
= 48.
= 8+16 = 24.
= 48/24.
= 2.

Er. Pradeep Maurya said:   1 decade ago
Hi @Seema.

Here BODMAS rules are applied, where we solved first brackets (4x+16).

Put x = 4 then (4*8+16) = 48.

Then next brackets (x+16). Put again x = 8 then (8+16) = 24.

Now please see the sign between both the brackets that is divide sign, so please now divide 48/28 = 2.

Thank You.

S.raza said:   1 decade ago
@Seema.

If still you are not understanding you can put value of x in equation of last part of the question.


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