Question 22

Three-fifths of my current age is the same as five-sixths of that of one of my cousins’. My age ten years ago will be his age four years hence. My current age is ........ years.

Let my age is X and that of my cousins age is Y years.

According to question, $$\frac{3}{5}X=\frac{5}{6}Y$$ => $$X=\frac{5\times5}{6\times3}Y=\frac{25}{18}Y$$.............(i)

Also

$$X-10=Y+4$$=> $$X=Y+14$$.......(ii)

From (i) and (ii)

$$\frac{25}{18}Y=Y+14=>25Y=18Y+252$$

=> 7Y=252

=> Y= $$\frac{252}{7}=36years$$

Hence X = $$36+14=50years$$

hence option D is right answer.

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