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.
Douglas k said:
3 years ago
Let the present ages of Kunal and Sagar be x and y respectively.
6 years ago ages will be X-6 and y-6.
Ratio of ages (X-6)/(y-6)=6/5 --->eqn 1
Ratio of ages (X+4)/(y+4)=11/10 ---> eqn 2
Equation 1 ---> 6y-5x = 6.
Equation 2 ---> 10x-11y = 4.
When you solve for x and y u get 18 and 16
So Sagar's present age is 16 years
I think this makes more sense.
6 years ago ages will be X-6 and y-6.
Ratio of ages (X-6)/(y-6)=6/5 --->eqn 1
Ratio of ages (X+4)/(y+4)=11/10 ---> eqn 2
Equation 1 ---> 6y-5x = 6.
Equation 2 ---> 10x-11y = 4.
When you solve for x and y u get 18 and 16
So Sagar's present age is 16 years
I think this makes more sense.
(175)
Kruti Shah said:
9 years ago
Let present ages of Kunal and Sagar be x & y respectively.
(x - 6) / (y - 6)=6/5 -----> ratio of ages 6 years back.
(x + 4) / (y + 4)= 11/10 -----> ratio of ages 4 years hence.
If we solve them simultaneously, Sagar's present age comes out to be 18 & Kunal's as 16.
So, why is this solution wrong? Someone explain me.
(x - 6) / (y - 6)=6/5 -----> ratio of ages 6 years back.
(x + 4) / (y + 4)= 11/10 -----> ratio of ages 4 years hence.
If we solve them simultaneously, Sagar's present age comes out to be 18 & Kunal's as 16.
So, why is this solution wrong? Someone explain me.
Ravi teja said:
1 decade ago
Six years ago means we have to deduct 6 from the current age but from the present age to after 4 years, they mentioned the ratio so.
From past 6 years we have to add 6 to come to present age and from present age we have to add 4. So total it will become like (x+6) i.e. is present and plus 4 i.e future.
So we get (x+6+4). Thats it.
From past 6 years we have to add 6 to come to present age and from present age we have to add 4. So total it will become like (x+6) i.e. is present and plus 4 i.e future.
So we get (x+6+4). Thats it.
Neha said:
1 decade ago
Six years ago the ratio was 6:5.
So, their ages were 6x and 5x six years before.
Now to know their present ages we will add 6 and therefore their present ages are (6x+6) and (5x+6).
A/Q After 4 years, the new ratio will be 11:10.
So, we will add 4 to their present ages i.e. (6x+6) and (5x+6).
We get (6x+6+4) and (5x+6+4).
So, their ages were 6x and 5x six years before.
Now to know their present ages we will add 6 and therefore their present ages are (6x+6) and (5x+6).
A/Q After 4 years, the new ratio will be 11:10.
So, we will add 4 to their present ages i.e. (6x+6) and (5x+6).
We get (6x+6+4) and (5x+6+4).
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...)
Vish said:
4 years ago
It is clearly said that 6 years ago their age was 6:5, so and hence their present age will be (6x+6)/(5x+6) and hence after 4 years you have to add another 4.
(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.
(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.
(22)
Gunjan said:
4 years ago
Even this happened to me @Khaisar.
The correct answer after solving it again was:
(6x+6)+4. 11
---------------= --------
(5x+6)+4. 10
(6x+6)+4
10(6x+10)=11(5x+10)
60x+100=55x+110
60x-55x=110-100
5x=10
x=10÷2
x=5
Sugar current age=5x+6
=10+6
=16
Answer=16
The correct answer after solving it again was:
(6x+6)+4. 11
---------------= --------
(5x+6)+4. 10
(6x+6)+4
10(6x+10)=11(5x+10)
60x+100=55x+110
60x-55x=110-100
5x=10
x=10÷2
x=5
Sugar current age=5x+6
=10+6
=16
Answer=16
(3)
Sng said:
1 decade ago
Let the ages of kunal and sagar be x and y years respectively.
Then,(x-6)/(y-6) = 6/5.
=>x = (6y-6)/5.
Similarly; (x+4)/(y+4) = 11/10.
=>(6y-6+20)/(5y+20) = 11/10.
=>60y+140 = 55y+220.
=>5y = 80.
=>y = 16 years.
Therefore, sagar present age is 16 years.
Then,(x-6)/(y-6) = 6/5.
=>x = (6y-6)/5.
Similarly; (x+4)/(y+4) = 11/10.
=>(6y-6+20)/(5y+20) = 11/10.
=>60y+140 = 55y+220.
=>5y = 80.
=>y = 16 years.
Therefore, sagar present age is 16 years.
Vinod said:
1 decade ago
(k-6)=(6/5)(s-6)-first statement
k+4=(11/10)(s+4)- second staement..is this eqn right..? this s how i calculte the problems based on ages i.e by writing an eqn for each statement and solving it..! i m not getting d answer by solving this two eqns..! wats wrong in it..?
k+4=(11/10)(s+4)- second staement..is this eqn right..? this s how i calculte the problems based on ages i.e by writing an eqn for each statement and solving it..! i m not getting d answer by solving this two eqns..! wats wrong in it..?
Hunt said:
1 decade ago
Let the 6 years ago ages was 6s & 5x;
Now at present; its ration is (6x+6)/(5x+5);
By next statement; 4 years hence; the age rations will become as; (6x+6+4)/(5x+6+4) = 11/10.
By its values x = 2;
Now as sagar's present age is = 5x+6 = 5*2+6 = 16 year;
Simple!
Now at present; its ration is (6x+6)/(5x+5);
By next statement; 4 years hence; the age rations will become as; (6x+6+4)/(5x+6+4) = 11/10.
By its values x = 2;
Now as sagar's present age is = 5x+6 = 5*2+6 = 16 year;
Simple!
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers