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.

Karan said:   1 decade ago
@Ravee superb.

Shaila said:   1 decade ago
Ravee too good explanation.

Manoj said:   1 decade ago
@durgesh. Your explanation is very good. Nice one.

Jagadeesh said:   1 decade ago
Thanks vaishu I understood your explanation clearly.

Chandu said:   1 decade ago
THANKQ. Vaishu for your explanation.

Manohar said:   1 decade ago
Try this way now the ratio is

4: 1
8 (4x2)=8 8-5=3x=8(5-2)
5 :2 5x1)=5 x=8
32 8 after 8 yrs 40 16 further 8 yrs 48 24 2;1

Parveen said:   1 decade ago
It is very helpful.

Parveen said:   1 decade ago
Is thare any shortcut to solve this in seconds.

Vineshgujjari said:   1 decade ago
To all,

1)let ronit age be-> x,
2)father age be-> 3x+x,(as it is said 3 times more than ronit so 3x+x)
3)now it is said dat after 8 years,the father age will be two and half times ronit that is
father+8=5/2(ronit+8)
3x+x+8=5/2(x+8)
(4x+8)2=5(x+8)
8x+16=5x+40
3x=24
x=8.------(1)
4)again after 8 yrs,
x+3x+8+8=y(x+8+8)
4x+16=y(x+16)
now put x=8(from 1)
4*8+16=y(8+16)
32+16=y(24)
48=y(24)
Y=2.(hence solved)

Hope you all understand...

Karuna said:   1 decade ago
(4x+8)=5/2(x+8) please can u explain me how this step came...
means,
father age was 4x sun age was x
next after 8 years,
father age was 4x+8 sun age was x+8

Now he would be 2 and half times more than his son right then,
Here i didn't get...


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