Discussion

Question:

There are two persons P and Q and P’s present age is less than Q’s present age. Which of the following will be the relation between cubes of the ratio of their ages after 4 years (M) and the ratio of their ages after 8 years (N)?

Explanation:

Let the present ages of A and B be a years and b years respectively. Given p < q

$\frac{p}{q} < \frac{p + 4}{q + 4} < \frac{p + 8}{q + 8}$

Hence, ${(\frac{p + 4}{q + 4})}^{3} < {(\frac{p + 8}{q + 8})}^{3}$

⇒ M < N

Hence, option (a).

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