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.
Rass said:
8 years ago
The age of A and B three years ago were 'x' and 'y+2' years, therefore the sum of their ages 4 years hence will be?
Can someone solve this?
Can someone solve this?
Vidyaram meena said:
7 years ago
There is another way to solve the same problem.
Let's suppose son age y and father age x.
according to question
x+y=60 ----> eqn(1).
and
x-6=5(y-6).
x-5y=-24----> equ(2).
By solving eqn(1) and eqn(2) we get y=14.
From question.
Then, y+6=14+6=20.
Hence after 6 years, the age of son is 20.
Let's suppose son age y and father age x.
according to question
x+y=60 ----> eqn(1).
and
x-6=5(y-6).
x-5y=-24----> equ(2).
By solving eqn(1) and eqn(2) we get y=14.
From question.
Then, y+6=14+6=20.
Hence after 6 years, the age of son is 20.
Gaurav kumar said:
7 years ago
Thank you so much for explaining the answer.
Prithiv raj said:
7 years ago
Let father age be x.
Son be y.
X+y=60,
X-6=5y,
Y=x-6/5.
Sub y in above eq.
X+x-6/5=60.
5x+x-6=300.
6x=294.
X=49 father age.
Sub x in above.
49+y=60.
Y=11.
After 6 years 11+6=17 years.
Son be y.
X+y=60,
X-6=5y,
Y=x-6/5.
Sub y in above eq.
X+x-6/5=60.
5x+x-6=300.
6x=294.
X=49 father age.
Sub x in above.
49+y=60.
Y=11.
After 6 years 11+6=17 years.
TEENA JOY P J said:
7 years ago
Here, in this question, we can see 3 periods of time(past, present, future).
Take past first, ie, 6 yrs b4:
son=X and dad=5X.
Now take present:
Son=X+6 and Dad=5X+6.
Given a hint that at present their sum of ages is 60; a task made easy.
X + 6 + 5X + 6 = 60,
X = 8.
Now take future (we have to find ans in future):
After 6 more yrs:
Son=X+12 and dad=5X+12
So the son will be 8+12 yrs old.
The age of son =20.
Take past first, ie, 6 yrs b4:
son=X and dad=5X.
Now take present:
Son=X+6 and Dad=5X+6.
Given a hint that at present their sum of ages is 60; a task made easy.
X + 6 + 5X + 6 = 60,
X = 8.
Now take future (we have to find ans in future):
After 6 more yrs:
Son=X+12 and dad=5X+12
So the son will be 8+12 yrs old.
The age of son =20.
Srujan said:
6 years ago
Thank you all.
Naximi said:
6 years ago
Thanks @Amit.
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.
Selvi.k said:
1 decade ago
We will solve this problem by solving the two equation
Consider son's age=Y, Fathers age=X.
Let X+Y=60. (1)
6 years ago means
Son's age=X-6, Fathers age=Y-6.
So the equations changed as per the condition
5Y-6=X-6.
We get,
X-5Y=-24. (2).
Solve (1) , (2).
We get y=14, x=46.
After 6 years the son's age=14+6=20.
Consider son's age=Y, Fathers age=X.
Let X+Y=60. (1)
6 years ago means
Son's age=X-6, Fathers age=Y-6.
So the equations changed as per the condition
5Y-6=X-6.
We get,
X-5Y=-24. (2).
Solve (1) , (2).
We get y=14, x=46.
After 6 years the son's age=14+6=20.
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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