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?
A. 16 years
B. 18 years
C. 20 years
D. Cannot be determined
E. None of these
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & {\text{Let}}\,{\text{the}}\,{\text{ages}}\,{\text{of}}\,{\text{Kunal}}\,{\text{and}}\,{\text{Sagar}}\,{\text{6}}\,{\text{years}}\,{\text{ago}}\, \cr & {\text{be}}\,6x\,{\text{and}}\,5x\,{\text{years}}\,{\text{respectively}} \cr & {\text{Then,}}\,\frac{{\left( {6x + 6} \right) + 4}}{{\left( {5x + 6} \right) + 4}} = \frac{{11}}{{10}} \cr & \Rightarrow 10\left( {6x + 10} \right) = 11\left( {5x + 10} \right) \cr & \Rightarrow 5x = 10 \cr & \Rightarrow x = 2 \cr & \therefore {\text{Sagar's}}\,{\text{present}}\,{\text{age}} \cr & = \left( {5x + 6} \right)\,{\text{years}} \cr & = 16\,{\text{years}}\, \cr} $$Join The Discussion
Comments ( 4 )
Related Questions on Problems on Ages
A. 2 times
B. $$2\frac{1}{2}\,{\text{times}}$$
C. $$2\frac{3}{4}\,{\text{times}}$$
D. 3 times
A. 4 years
B. 8 years
C. 10 years
D. None of these
A. 14 years
B. 19 years
C. 33 years
D. 38 years
Please forgive me but I don’t agree with the answer, the question said 6 years ago , it’s suppose to be subtraction unless there’s an error with the questions
The solution of this question is wrong.6 should be subtract but here it is added.why they are giving wrong solution?next question is similar type question where "years ago" deducted
It is 6 years ago that means 6x and present 6x + 6 and after four years +4 , 6x+6+4
i have one doubt .In question they mentioned 6 years ago means we have to subtract but why here they added 6????