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 30 of 32.

Abhiruchi said:   1 decade ago
How (4x+16) / (x+16) is = 48/24 ?

Please explain.

Vivek said:   1 decade ago
2 1/2 means (2*2+1)/2 so dats 5/2

Sajitha said:   1 decade ago
Thank you very much affrin.

Affrin said:   1 decade ago
(4x+8)=5/2(x+8) => 8x+16 = 5x+40

bcoz :
cross multiply : 2(4x+8) = 8x+16
straight multiply: 5(x+8) = 5x+40
Everyone clear.........

Affrin said:   1 decade ago
THANKS. Vaishu for your explanation.

Jaz said:   1 decade ago
@vaishu so, x+3x+8=x+8 this step am nt getting ..

(4x+8)=5/2(x+8) dis also...

Harsh said:   1 decade ago
As father age and his son age ratio decrease by one and half in 8 year.

In another 8 year in will decrease one and half from two and half times.

Vaishu said:   1 decade ago
Consider son's age as 'x'
so they have said,

Father is aged three times more than his son
as per the statement, x+3x
after 8ys ,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
=> 2years

Got it friends?

Vasu said:   1 decade ago
How this 8X+16 and 5x+40 came?

Shanmu said:   1 decade ago
How you got ratio (4x+16) / (x+16) ?
can u explain the last step of ratio.


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