# 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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by Manesika

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by Manesika

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V=4D

4D=D+3

4D-D=3

3D=3

D=1

V=4*1=4

So till now the ages are correct :

The age difference is 3 and Vikas is 3 years older.

But this was 6 years ago.

Now, They have :

let the age of vikas be x

let the age of Deepika be y.

x=y+3.............................1

x-6=4(y-6)

x-6=4y-24

x-4y=-18..........................2

putting the value of x in 2.

y+3-4y=-18

-3y=-21

y=-21/-3

y=7

putting the value of y in 1

x=7+3

x=10

Hence the age of vikas is 10

and age of deepika is 7