# 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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Let the age of Deepika be x yrs

then the age of Vikas = x + 3 yrs

Six years ago the age of Deepika = x - 6

and vikas age = x + 3 - 6 = x - 3

given that six years ago the age of Vikas = 4 * Deepikas`s age

⇒4*(x - 6)

⇒4x - 24

∴4x - 24 = x - 3

⇒3x = -3 + 24

⇒3x = 21

⇒x = 21/3

∴x = 7

∴The age of Deepika = x =7 years

then the age of Vikas = 7 + 3 = 10 years.

then the age of Vikas = x + 3 yrs

Six years ago the age of Deepika = x - 6

and vikas age = x + 3 - 6 = x - 3

given that six years ago the age of Vikas = 4 * Deepikas`s age

⇒4*(x - 6)

⇒4x - 24

∴4x - 24 = x - 3

⇒3x = -3 + 24

⇒3x = 21

⇒x = 21/3

∴x = 7

∴The age of Deepika = x =7 years

then the age of Vikas = 7 + 3 = 10 years.