# Vikas is three years older than Deepaka. Six years ago, Vikas's age was four times deepika's age. Find the ages of Deepaka and Vikas

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by pooja2776

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by pooja2776

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Deepaka's age is 7& Vikas's age is 10.

let the present age of Deepaka be 'x'.

∴Vikas's age=x+3

Deepaka's age 6yrs ago=x-6

vikas's age 4yrs ago will be:-x+3-6=x-3

and given that

4(Deepaka's age 6yrs ago)=vikas's age 6yrs ago

∴4(x-6)=x-3

4x-24=x-3

4x-24-x= -3

3x-24= -3

3x=21

∴x=7

∴Deepaka's age=7yrs

&Vikas's age=7+3=10yrs

let the present age of Deepaka be 'x'.

∴Vikas's age=x+3

Deepaka's age 6yrs ago=x-6

vikas's age 4yrs ago will be:-x+3-6=x-3

and given that

4(Deepaka's age 6yrs ago)=vikas's age 6yrs ago

∴4(x-6)=x-3

4x-24=x-3

4x-24-x= -3

3x-24= -3

3x=21

∴x=7

∴Deepaka's age=7yrs

&Vikas's age=7+3=10yrs

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

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/-3y

=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

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/-3y

=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