What is Sonia’s present age?

Sonia's present age is five times Deepak’s present age.

II. Five years ago her age was twenty-five times Deepak’s age at that time.

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I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are necessary to answer

answer is D.

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Detailed Solution

Concept- We must determine Sonia's current age using the information provided in two statements. We must also decide which statement is sufficient or necessary to determine Sonia's current age. For this, we will consider the current age to be variable. Then, using the information provided, we will obtain linear equations. We can find the current age of the given people by solving those equations.
I. Let Sonia’s present age be

and Deepak’s present age be

.
Then, according to given condition,

(1)
II. According to the second statement,

(2)
Using (1) in (2), we get

Then,

As a result, I and II together provide the answer.
Hence, the correct answer is option 4) Both I and II are necessary to answer.
of a Linear Equation
of a Linear Equation

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