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:
129 comments Page 13 of 13.
Mayur baviskar said:
7 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.
Supriya said:
7 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.
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...)
Mauni said:
6 years ago
Best solution, Thanks @Amrita.
Pallavi said:
6 years ago
@All.
By using the Ratio method:
K S (yrs)
6 : 5 ( -6).. 6 yrs ago so minus.
11 : 10 (+4)... After 4 yrs so add 4.
5 ratio = 10... The vertical difference between both the ratio is 5 i.e equal to the sum of the year (add yrs even if signs are different).
So, 1ratio = 2.
Then 2 * 5= 10 ... Sagar ratio is 5.
10+6= 16 yrs --- Add 6 for present age.
By using the Ratio method:
K S (yrs)
6 : 5 ( -6).. 6 yrs ago so minus.
11 : 10 (+4)... After 4 yrs so add 4.
5 ratio = 10... The vertical difference between both the ratio is 5 i.e equal to the sum of the year (add yrs even if signs are different).
So, 1ratio = 2.
Then 2 * 5= 10 ... Sagar ratio is 5.
10+6= 16 yrs --- Add 6 for present age.
Rohini said:
6 years ago
Thank you @Faruk.
Sreekanth said:
6 years ago
No @Faruk.
He takes six year ago as 6x.
If we take present age as x=5.
Then six years ago in 6x we assign x=5 and it becomes 30.
How it will be right?
He takes six year ago as 6x.
If we take present age as x=5.
Then six years ago in 6x we assign x=5 and it becomes 30.
How it will be right?
Swanali lakahane said:
6 years ago
I don't know why 6 is added here, because here it is given ago.
So, please tell me, anyone.
So, please tell me, anyone.
Jashobanta Nayak said:
5 years ago
Here 'ago' is only mentioned for "hence", so 6 will be added.
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