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?
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 3 of 32.
Vasu said:
1 decade ago
How this 8X+16 and 5x+40 came?
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?
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?
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.
In another 8 year in will decrease one and half from two and half times.
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...
(4x+8)=5/2(x+8) dis also...
Affrin said:
1 decade ago
THANKS. Vaishu for your explanation.
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.........
bcoz :
cross multiply : 2(4x+8) = 8x+16
straight multiply: 5(x+8) = 5x+40
Everyone clear.........
Sajitha said:
1 decade ago
Thank you very much affrin.
Vivek said:
1 decade ago
2 1/2 means (2*2+1)/2 so dats 5/2
Abhiruchi said:
1 decade ago
How (4x+16) / (x+16) is = 48/24 ?
Please explain.
Please explain.
Gauri said:
1 decade ago
thanks vaishu, for solving the problem for the last ratio
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