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Question

Twenty years ago, my age was $$\left (\displaystyle \frac{1}{3}\right)$$rd  of what it is now. What is my present age?


A
66 years
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B
30 years
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C
33 years
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D
36 years
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Solution

The correct option is B $$30$$ years
Let the present age be $$x$$ years
$$20$$ years ago, age will be $$x-20$$
As per the given condition, we have
$$x\, -\, 20\, =\, \displaystyle \frac{x}{3}$$
$$x-\dfrac {x}{3}=20$$
$$\displaystyle \frac{2x}{3}\, =\, 20$$
$$x = 30$$ years
Therefore, present age is $$30$$ years.

Mathematics

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