Vikas is three years older than Deepika. Six years ago, Vikas’s age was four times Deepika’s age. Find the ages of Deepika and Vikas.

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answer is C.

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Detailed Solution

Concept: Assume that Deepika is "

" years old and Vikas is "x+3" years old. To find their age six years ago, subtract six from their current age. Vikas was four times Deepika's age six years ago. To determine Vikas and Deepika's current ages, locate the expression and solve it.
Let's assume that Deepika is

years old. In addition, since Vikas is indicated as being three years older than Deepika, let his age be

years.
Let's take a look at the case from six years ago now.
Consider Deepika's age six years ago to be the current age,

, minus six.

is the age of Deepika.
The age of Vikas six years ago is equal to his current age minus six years.
Age of Vikas is equal to

Vikas's age is stated in the question to be four times Deepika's.
Age of Deepika six years ago is the age of Vikas six years ago.

Open the brackets and simplify the expression.

We learned that Deepika is currently 7 years old.
Age of Vikas is given by

Deepika is currently 7 years old.
The current age of Vikas is 10
Hence, the correct answer is option 3

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