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 2 of 8.
Abhi said:
5 years ago
@Amit.
You have already added 6 to bring question in present (x+6) & (5x+6). Now the outcome of this solution is 8yr right. This 8yr must be present age of son we have to add 6 to know future age hence, 8+6=14.
How have you added 8+6+6? I didn't understand please reply.
You have already added 6 to bring question in present (x+6) & (5x+6). Now the outcome of this solution is 8yr right. This 8yr must be present age of son we have to add 6 to know future age hence, 8+6=14.
How have you added 8+6+6? I didn't understand please reply.
(2)
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)
Shafeen Ahmed said:
7 months ago
Solution using options:
6 years back Son's age: Minus 12 from each option.
So: 0 2 6 8.
6 years back sum of the father's and son's age = 60 - 6 - 6 = 48,
6 years back relationship of age; F = 5s.
If s = 8, F = 5 * 8 = 40;
Total = 40 + 8 = 48 (Verified).
After 6 years, son's age = 8 + 12 = 20.
6 years back Son's age: Minus 12 from each option.
So: 0 2 6 8.
6 years back sum of the father's and son's age = 60 - 6 - 6 = 48,
6 years back relationship of age; F = 5s.
If s = 8, F = 5 * 8 = 40;
Total = 40 + 8 = 48 (Verified).
After 6 years, son's age = 8 + 12 = 20.
(1)
Dhanesh P G said:
6 years ago
My solution is given by,
The present sum of ages 60.
So 6 years ago the sum is 48.
Then the ratio is 5:1 it means 5x+x=6x=48.
Then x=8 and,
Age after 6 years is 40+12=52 and 8+12= 20.
The present sum of ages 60.
So 6 years ago the sum is 48.
Then the ratio is 5:1 it means 5x+x=6x=48.
Then x=8 and,
Age after 6 years is 40+12=52 and 8+12= 20.
(1)
Nikhil G said:
5 years ago
x+y = 60 -------------> eqn1
5x-6 = y-6 => 5x = y ----------> eqn2
Equating both equation:
y/5 = 60-y.
y=300-20y.
y=300/19.
y = 14 years.
After 6 years 14+6 = 20.
5x-6 = y-6 => 5x = y ----------> eqn2
Equating both equation:
y/5 = 60-y.
y=300-20y.
y=300/19.
y = 14 years.
After 6 years 14+6 = 20.
(1)
Hassan said:
5 years ago
Very helpful. Thanks for explaining @Amit.
(1)
Siva said:
10 years ago
6 years ago son age = x, then father = 5x.
Present age of son means x+6 like that father age is 5x+6.
x+6+5x+6 = 60. So x = 8, here it is.
After 6 years son age will be x+6+6 = 8+6+6 = 20.
Present age of son means x+6 like that father age is 5x+6.
x+6+5x+6 = 60. So x = 8, here it is.
After 6 years son age will be x+6+6 = 8+6+6 = 20.
Nish said:
9 years ago
Age of the son 6 years ago = 'X'.
Age of the father 6 years ago = '5X'.
At present sum of the father and son's age = (X + 6) + (5X + 6) = 60.
=> X = 8 which is assumed as the age of 6 years ago so, at present age of the son is X + 6 i.e 8 + 6 = 14.
After 6 years age of the son will be = 14 + 6 = 20 years.
Age of the father 6 years ago = '5X'.
At present sum of the father and son's age = (X + 6) + (5X + 6) = 60.
=> X = 8 which is assumed as the age of 6 years ago so, at present age of the son is X + 6 i.e 8 + 6 = 14.
After 6 years age of the son will be = 14 + 6 = 20 years.
SINDHU KALYAN said:
9 years ago
Thank you @AMIT.
Pravin Garodi said:
9 years ago
Consider son present age is X and father present age is Y.
X + Y = 60 consider this is first equation,
6 year ago father age is,
(Y - 6) = 5(X - 6),
5(X - 6) = Y - 6,
5X - Y = 24 this is second equation.
After solving 1 and 2 equation,
X = 14,
After 6 year son age is 14 + 6 = 20.
X + Y = 60 consider this is first equation,
6 year ago father age is,
(Y - 6) = 5(X - 6),
5(X - 6) = Y - 6,
5X - Y = 24 this is second equation.
After solving 1 and 2 equation,
X = 14,
After 6 year son age is 14 + 6 = 20.
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