Instructions

In each of the following questions, a question is followed by information given in three statements. You have to study the question alongwith the statements and decide the information given in which of the statement (s) is necessary to answer the question.

Question 109

What is the present age of Subir?
I. The present age of Subir is half to that of his father.
II. After 5 years, the ratio o Subir’s age to that of his father’s age will be 6 : 11.
III. Subir is 5 years younger than his brother.

Solution

Let present age of Subir = $$x$$ years

From statement I : Father's age = $$2x$$ years

From statement III : His brother;s age = $$(x + 5)$$ years

From statement II : $$\frac{x + 5}{2x + 5} = \frac{6}{11}$$

=> $$11x + 55 = 12x + 30$$

=> $$12x - 11x = 55 - 30$$

=> $$x = 25$$ years

Clearly, statement III is redundant.

Thus, statement I & II are sufficient.


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