a) 16 years
b) 18 years
c) 20 years
d) Cannot be determined
Answer: a
Explanation:
$$\eqalign{
& {\text{Let}}\,{\text{the}}\,{\text{ages}}\,{\text{of}}\,{\text{Kunal}}\,{\text{and}}\,{\text{Sagar}}\,{\text{6}}\,{\text{years}}\,{\text{ago}}\, \cr
& {\text{be}}\,6x\,{\text{and}}\,5x\,{\text{years}}\,{\text{respectively}} \cr
& \frac{{\left( {6x + 6} \right) + 4}}{{\left( {5x + 6} \right) + 4}} = \frac{{11}}{{10}} \cr
& 10\left( {6x + 10} \right) = 11\left( {5x + 10} \right) \cr
& 5x = 10 \cr
& x = 2 \cr
& {\text{Sagar’s}}\,{\text{present}}\,{\text{age}} \cr
& = \left( {5x + 6} \right)\,{\text{years}} \cr
& = 16\,{\text{years}}\, \cr} $$
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