a) 10 years
b) 6 years
c) 12 years
d) 8 years
Answer: d
Explanation: Let Samina’s age be 7x years.
Then, Suhana’s age = 3x years
$$\eqalign{
& \therefore \frac{{7x + 6}}{{3x + 6}} = \frac{5}{3} \cr
& \Rightarrow 3\left( {7x + 6} \right) = 5\left( {3x + 6} \right) \cr
& \Rightarrow 21x + 18 = 15x + 30 \cr
& \Rightarrow 6x + 12 \cr
& \Rightarrow x = 2 \cr} $$
Difference in their ages = (7x – 3x) years
= 4x years
= (4 × 2) years
= 8 years
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