Aptitude - Problems on Ages - Discussion
Discussion Forum : Problems on Ages - General Questions (Q.No. 7)
7.
Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?
Answer: Option
Explanation:
Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.
| Then, | (6x + 6) + 4 | = | 11 |
| (5x + 6) + 4 | 10 |
10(6x + 10) = 11(5x + 10)
5x = 10
x = 2.
Sagar's present age = (5x + 6) = 16 years.
Discussion:
128 comments Page 3 of 13.
Arianos3 said:
6 years ago
No need to crack ur head just read the question, write the equation and solve it (question speaks itself):
Ist condition:-
k-6/s-6 = 6/5 ..................I
IInd condition:-
k+4/s+4 = 11/10 ...................II
So from I & II we got:-
k = 18
And s= 16 (required answer...)
Ist condition:-
k-6/s-6 = 6/5 ..................I
IInd condition:-
k+4/s+4 = 11/10 ...................II
So from I & II we got:-
k = 18
And s= 16 (required answer...)
Supriya said:
6 years ago
6:5 cross multiple both ratios.
11:10(difference)= 1 * 10 (time between ratios)
55 ~60 = 5
So if 5= 10.
1=5.
Now multiple with the past age ration you will get;
K = 12 , S=10.
And for Sagar's present age add 6yrs you will get 16 years.
11:10(difference)= 1 * 10 (time between ratios)
55 ~60 = 5
So if 5= 10.
1=5.
Now multiple with the past age ration you will get;
K = 12 , S=10.
And for Sagar's present age add 6yrs you will get 16 years.
Yash said:
6 years ago
My answer will be simple and easy.chexh this out:
6 years ago the ratio is 6x/5x(since a/b so we should take it as ax/bx).
Now the present ages are 6x+6/5x+6(since 6x/5x are the ages 6 years before),
After four years to the present age so (6x+6)+4/(5x+6)+4 = 11/10,
60x+100 = 55x+110,
5x = 10,
X = 2.
Since the present age of the second guy is 5x+6.
5(2)+6.
=16(final answer).
6 years ago the ratio is 6x/5x(since a/b so we should take it as ax/bx).
Now the present ages are 6x+6/5x+6(since 6x/5x are the ages 6 years before),
After four years to the present age so (6x+6)+4/(5x+6)+4 = 11/10,
60x+100 = 55x+110,
5x = 10,
X = 2.
Since the present age of the second guy is 5x+6.
5(2)+6.
=16(final answer).
(1)
Mayur baviskar said:
6 years ago
Let, Kunal present age = x.
& Sagar present age = y.
STEP1
6yr ago
(x-6)/(y-6)=6/5
5x-6y=-6 .----> eq(1)
STEP2:
4yr hence;
(x+4)/(y+4)=11/10.
10x-11y=4 ---->eq(2).
Solving eq. Simultaneously.
x=18 & y = 16.
Hence Sagar age is 16yr old.
& Sagar present age = y.
STEP1
6yr ago
(x-6)/(y-6)=6/5
5x-6y=-6 .----> eq(1)
STEP2:
4yr hence;
(x+4)/(y+4)=11/10.
10x-11y=4 ---->eq(2).
Solving eq. Simultaneously.
x=18 & y = 16.
Hence Sagar age is 16yr old.
KSRAJA said:
6 years ago
Here, first, understand the question.
6year ago, the ratio of the ages of Kunal and Sagar was 6 : 5. --> it means that ration of both is given for 6years ago.
So that, the present age is 6x+6 and 5x+6.
6year ago, the ratio of the ages of Kunal and Sagar was 6 : 5. --> it means that ration of both is given for 6years ago.
So that, the present age is 6x+6 and 5x+6.
BKPATEL said:
7 years ago
Good explanation @Pallavi.
Student said:
7 years ago
Well said @Pradnyaa.
Dhiraj wagh said:
7 years ago
How come 4, here?
Iba Krish said:
7 years ago
Well said @Neha.
Atiqur said:
7 years ago
Thanks @Faruk.
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