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 4 of 8.
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.
Mahendran Kamaraj said:
4 years 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 years.
14+6= 20 years.
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 years.
14+6= 20 years.
(30)
Arshpreet Kaur said:
2 years ago
F + s = 60.
Before 6 yrs— f+s = 60-12= 48
F. : s
-6yrs = 5. : 1
+6yrs = ?
5x + 1x = 48,
6x = 48,
X = 8.
12 yrs. = total time difference.
Hence, the son is 1 part => 1*8 = 8.
After 12 yrs, son = 8+12= 20 years.
Before 6 yrs— f+s = 60-12= 48
F. : s
-6yrs = 5. : 1
+6yrs = ?
5x + 1x = 48,
6x = 48,
X = 8.
12 yrs. = total time difference.
Hence, the son is 1 part => 1*8 = 8.
After 12 yrs, son = 8+12= 20 years.
(12)
Kauthik said:
1 decade ago
Father's age = x ; son's age = y
x+y = 60; x-6 = 5y; y+6 = ?
x = 5y+6
5y+6+y = 60
6y = 54
y = 9
Hence present age of son = y+6= 15.
I got answer like this. what's wrong in this method.
x+y = 60; x-6 = 5y; y+6 = ?
x = 5y+6
5y+6+y = 60
6y = 54
y = 9
Hence present age of son = y+6= 15.
I got answer like this. what's wrong in this method.
Nil_dhongde@yahoo.com said:
1 decade ago
s=x
f=y
x+y=60......................(1)
6 years ago
(y-6)=5(x-6)
i.e
y-6=5x-30
Therefore at present age we have
y-6+6=5x-30+6
i.e
y=5x-24
From (1)
x+5x-24=60
6x=84
x=14
Therefore after 6 yrs sons age will be
14+6=20
f=y
x+y=60......................(1)
6 years ago
(y-6)=5(x-6)
i.e
y-6=5x-30
Therefore at present age we have
y-6+6=5x-30+6
i.e
y=5x-24
From (1)
x+5x-24=60
6x=84
x=14
Therefore after 6 yrs sons age will be
14+6=20
G.Bharath Reddy said:
8 years ago
Simple steps:
Let the ages of father and be y,x;
x+y+6=60;
Before 6 years,fathers age was x+6=5x+6
x+6+5x+6=60;
6x+12=60;
6x=48;
x=8;
So,son age is 8yrs;
At that moment,son age is=8+6=14yrs;
After 6yrs=14+6;
20 yrs/.
Let the ages of father and be y,x;
x+y+6=60;
Before 6 years,fathers age was x+6=5x+6
x+6+5x+6=60;
6x+12=60;
6x=48;
x=8;
So,son age is 8yrs;
At that moment,son age is=8+6=14yrs;
After 6yrs=14+6;
20 yrs/.
Chandana said:
1 decade ago
I think so...
it's after 6 years,
in eqn x-6=5y u didnt reduced son's age to 6years(after 6years)
x-6=5(y-6)
then u get the answer..
x-6=5y-30
x=5y-24;
5y-24+y=60
6y=84
y=14
hence present age of son=y+6=20
it's after 6 years,
in eqn x-6=5y u didnt reduced son's age to 6years(after 6years)
x-6=5(y-6)
then u get the answer..
x-6=5y-30
x=5y-24;
5y-24+y=60
6y=84
y=14
hence present age of son=y+6=20
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)
Priya said:
1 decade ago
Let s be son and f be father.
s+f=60
this was 6 years ago there fore
(s+f)-6=60-6 . . .here f=5s therfore substut
s+5s-6=54 . . .6s=60
therefor s=10
aftr 6 years
s=16
Please tell wats wrong with my logic.
s+f=60
this was 6 years ago there fore
(s+f)-6=60-6 . . .here f=5s therfore substut
s+5s-6=54 . . .6s=60
therefor s=10
aftr 6 years
s=16
Please tell wats wrong with my logic.
Venkatesh said:
1 decade ago
A+B=60,--->1
6 yrs ago , (A-6)=(B-6)*5[bcz Six years ago, father's age was five times the age of the son]
A-6=5B-30,
A=5B-24, ----->2
By simplifying 1 and 2 we will get B=16.
Aft 6 yrs B+6=20.
6 yrs ago , (A-6)=(B-6)*5[bcz Six years ago, father's age was five times the age of the son]
A-6=5B-30,
A=5B-24, ----->2
By simplifying 1 and 2 we will get B=16.
Aft 6 yrs B+6=20.
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