Question

Vikas is three years older than deepika six years ago vikas age was four times deepika ' s age find the ages of deepika and vikas

Answer 1

Determining Age

Answer: Age of deepika is 7 years and age of Vikas is 10 years.

Explanation:

Given that

Vikas is three years older than Deepika .

And Six years ago Vikas age was four times deepika's age.

Need to determine age of Deepika and Vikas

CURRENT AGES

lets assume current age of Deepika = x years.

As Vikas is three years older than Deepika ,

⇒ Current age of Vikas =  current age of Deepika + 3 =  x + 3

SIX YEARS AGO

age of Deepika six years ago  = current age of Deepika - 6 = x - 6

age of Vikas six years ago  = current age of Vika - 6 = (x + 3)  - 6 = x - 3

As given that Six years ago Vikas age was four times deepika's age.

⇒ (age of vikas six years ago) = 4 × (age of deepika six years ago)

⇒  x - 3 = 4 × ( x - 6)

⇒  x - 3 = 4x - 24

⇒ -3 + 24 = 4x - x

⇒ 21 = 3x

⇒ 21/3 = x

⇒ x = 7

So current age of Deepika = x years = 7 years

And current age of vikas = x + 3 years = 7 + 3 = 10 years

Hence age of deepika is 7 years and that of Vikas is 10 years.

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