In each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and
Give answer
(A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
(B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
(C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
(D) If the data given in both statements I and II together are not sufficient to answer the question and
(E) If the data in both statements I and II together are necessary to answer the question.
What is the present age of the father?
I.Present age of the father five times of the present age of his son
II.5 years ago age of the father is 15 times of the age of his son
I : Let present age of son = $$x$$ years
=> Present age of father = $$5x$$ years.
There is no other information, so statement I is not sufficient.
Similarly, II alone is not sufficient.
Combining both statements, we get :
=> $$(5x - 5) = 15 (x - 5)$$
=> $$5x - 5 = 15x - 75$$
=> $$15x - 5x = 75 - 5$$
=> $$10x = 70$$ => $$x = \frac{70}{10} = 7$$
$$\therefore$$ father's age = $$5 \times 7 = 35$$ years.
Thus, both statements together are sufficient.
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