(i) The ages of Sahil and Nikhil are in the ratio . Five years hence, the ratio of their ages will be . Find their present ages.
(ii) A student has obtained marks in a test. If the student scored marks, find the maximum marks.

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and

years,

marks

and

years,

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marks

answer is D.

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Detailed Solution

Concept: (i) Contains ratios, so we will assume a common factor between the ratios of their ages in order to obtain their present ages and continue solving.
(ii) We will presume that the student received the maximum number of points because here we are provided with a percentage of both his real and maximum points.
(i) Let the common factor between the age of Sahil and Nikhil be x.
Therefore, the present age of Sahil will be =

And present age of Nikhil will be =

Also, five years hence the ratio of their ages will change from

age of Sahil after five years =

And age of Nikhil after five years =

It is given that the ratio of their ages after five years is

Therefore,

So, the present age of Sahil is =

years
And the present age of Nikhil is =

years
(ii) Here, both the exact marks earned and the percentage of those marks are provided. Therefore, we'll set

as the maximum number of points.
It is given that the student scored

marks in the test

The marks scored by student is =