# 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:
12 years
14 years
18 years
20 years
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:
68 comments Page 1 of 7.

Arshpreet Kaur said:   2 months 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.
(4)

Hiwote end said:   2 years ago
f+s = 60.
f-6 = 5(s-6),
f = 5s-30 +6,
f = 5s-24,
f+s = 60,
5s-24+s = 60,
6s=60+24 = 84,
s = 14 but our target to find son age after 6 years. 14+6= 20.
(23)

Mahendran Kamaraj said:   2 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.
(16)

Rituparna Pati said:   2 years ago
@Amit.

You have already added 6 to the years to convey the present years of both of them. Then why have you added another 6 years. I can't understand! Please explain it.
(6)

M Mahd Pakistan said:   3 years ago
Thanks @Amit.
(3)

Hassan said:   3 years ago
Very helpful. Thanks for explaining @Amit.
(1)

Abhi said:   3 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.

(2)

Nikhil G said:   3 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.

Isha said:   3 years ago
Very easy to understand, Thanks @Amit.
(1)

Naximi said:   3 years ago
Thanks @Amit.