a) 4 Years
b) 6 Years
c) 2 Years
d) 8 Years
Answer: c
Explanation: Let Shakti’s age be 8$$x$$ years,
Then Kanti’s age = 7$$x$$ years
$$\eqalign{
& \therefore \frac{{8x + 10}}{{7x + 10}} = \frac{{13}}{{12}} \cr
& \Rightarrow 12\left( {8x + 10} \right) = 13\left( {7x + 10} \right) \cr
& \Rightarrow 96x + 120 = 91x + 130 \cr
& \Rightarrow 5x = 10 \cr
& \Rightarrow x = 2 \cr} $$
Difference between their ages
$$\eqalign{
& = \left( {8x – 7x} \right) \cr
& = {\text{ }}x\,{\text{years}} \cr
& {\text{ = 2}}\,{\text{years}} \cr} $$
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