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What is the father’s present age?

I. Father’s present age is five times the son’s present age.

II. Five years ago the father’s age was fifteen times the son’s age that time.

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 in Statement I alone or in Statement II alone are sufficient to answer the question.

d

If the data in both the Statements I and II are not sufficient to answer the question.

e

If the data in both the Statements I and II together are necessary to answer the question.

Answer : Option E
Explanation :

From statement I,

Let the present age of son = x years

herefore Present age of father = 5x years

From statements I and II,

5x – 5 = 15 (x – 5)

5x5=15x75 Rightarrow 5x - 5 = 15x - 75

15x5x=755 Rightarrow 15x - 5x = 75 - 5

10x=70 Rightarrow 10x = 70

x=7010=7 Rightarrow x = frac{{70}}{{10}} = 7

herefore Father’s present age = 5 × 7 = 35 years

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