# 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* = 5*x* - 30

6*x* = 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 yrsâ€” 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 yrsâ€” 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.

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.

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.

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.

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)

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.

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.

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