What is Sonia\'s present age? I. Sonia\'s present age is five times Deepak\'s pr

Question

What is Sonia's present age?

I.

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.

What is Sonia's present age?

I.

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.

A. I alone sufficient while II alone not sufficient to answer B. II alone sufficient while I alone not sufficient to answer C. Either I or II alone sufficient to answer D. Both I and II are not sufficient to answer E. Both I and II are necessary to answer

Explanation / Answer

Let Deepak's age be x and Sonia's age be y

given,

y=5x

Five years back,

Deepak's age: x-5

Sonia's age: y-5

y-5=25(x-5)

Solving two equations:

y=5x Multiply by 5

5y=25x

y-5=25x-125

Subtracting two equation we get

4y+5=125

4y=120

y=30 years.

So, Sonia's present age is 30 years.

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