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.
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.
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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