The ages of A and B are in the ratio 2 : 5. Eight years later, the ratio of their ages will be 22 : 43. Their present ages are (in years) :
Let the current ages of A and B be 2x and 5x.
Eight years later, the ratio of their ages will be 22 : 43
$$\Rightarrow$$ $$\frac{2x+8}{5x+8}=\frac{22}{43}$$
$$\Rightarrow$$ 86x + 344 = 110x + 176
$$\Rightarrow$$ 24x = 168
$$\Rightarrow$$ x = 7
$$\therefore\ $$Present ages of A and B are 14 and 35 respectively.
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