Aptitude - Problems on Ages - Discussion
Discussion Forum : Problems on Ages - General Questions (Q.No. 8)
8.
The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
Answer: Option
Explanation:
Let the present ages of son and father be x and (60 -x) years respectively.
Then, (60 - x) - 6 = 5(x - 6)
54 - x = 5x - 30
6x = 84
x = 14.
Son's age after 6 years = (x+ 6) = 20 years..
Discussion:
71 comments Page 1 of 8.
Amit said:
2 decades ago
We can also solve this as below:
Let six years ago son's age be x, and fathers age be 5x.
Then sum of their present age
(x+6)+(5x+6)=60
x+5x+12=60
6x+12=60
6x=60-12
6x=48
x=8
Hence six years ago son's age was 8 years
and present age is 8+6=14 years
Answer=after six years his age will be 14+6=20 years.
Let six years ago son's age be x, and fathers age be 5x.
Then sum of their present age
(x+6)+(5x+6)=60
x+5x+12=60
6x+12=60
6x=60-12
6x=48
x=8
Hence six years ago son's age was 8 years
and present age is 8+6=14 years
Answer=after six years his age will be 14+6=20 years.
(2)
Sowmya said:
2 decades ago
Thanks Amit.
Vijay said:
1 decade ago
Thank you so nice and easy.
Shabana said:
1 decade ago
We can also solve as..
x = son age
y = father's age
x+y=60 -----(1)
(y-6)=5(x-6)-----(2)
by solving (1)&(2) we get x=14 ,y=46
after 6 yrs son age = x+6
= 14+6=20
x = son age
y = father's age
x+y=60 -----(1)
(y-6)=5(x-6)-----(2)
by solving (1)&(2) we get x=14 ,y=46
after 6 yrs son age = x+6
= 14+6=20
Shoeb said:
1 decade ago
Thank for making this sum so simple....
Santosh said:
1 decade ago
Hey amit you already added 6 initially,
(x+6)+(5x+6)=60
x+5x+12=60
6x+12=60
6x=60-12
6x=48
x=8 and at end we haveto add another 6 means 8+6=14 years ....then how it would be 20 so actual answer is also wrong
(x+6)+(5x+6)=60
x+5x+12=60
6x+12=60
6x=60-12
6x=48
x=8 and at end we haveto add another 6 means 8+6=14 years ....then how it would be 20 so actual answer is also wrong
(2)
Parthi said:
1 decade ago
Thank guys.
Sirisha said:
1 decade ago
@santosh
Amit is right. He taking as ago, present, after.
Amit is right. He taking as ago, present, after.
Pankaj said:
1 decade ago
Superb shabana keep it up.
Mrs pallavi said:
1 decade ago
Son's age= x, father's age is y.
x+y=60.........................(1)
as per 2nd statement
(y-6)=5(x-6)
5x-y=24........................(2)
therefore solving equ. 1 & 2
x=14 & y=46
3rd condition
Son age after 6 year
14+6= 20 year.
x+y=60.........................(1)
as per 2nd statement
(y-6)=5(x-6)
5x-y=24........................(2)
therefore solving equ. 1 & 2
x=14 & y=46
3rd condition
Son age after 6 year
14+6= 20 year.
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