Question

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.​

Answer 1

Answer:

Step-by-step explanation:

Let the present age of Vikas and Deepa be 'x' and y'

According to question,

⇒ x = y + 3

Before 6 years:

⇒ ( x - 6 ) = 4 ( y - 6 )

⇒ ( x - 6 ) = 4y - 24

Now substituting Equation 1 here, we get,

⇒ ( y + 3 - 6 ) = 4y - 24

⇒ y - 3 = 4y - 24

⇒ 24 - 3 = 4y - y

⇒ 21 = 3y

⇒ y = 21 / 3 = 7

⇒ x = y + 3 = 7 + 3 = 10

Hence Present ages of Vikas is 10 years and Deepika is 7 years.

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Answer 2

Answer:

Let Deepika's present age be x years, then Vikas' present age will be x + 3 years.

Then, Deepika's age six years ago = x - 6 and Vikas' age six years ago = (x + 3) - 6 = x - 3

ATQ,

x - 3 = 4(x - 6)

⇒ x - 3 = 4x - 24

⇒ 24 - 3 = 4x - x

⇒ 3x = 21

⇒ x = 7

Hence,

Deepika's present age = x = 7 years

Vikas' present age = x + 3 = 7 + 3 = 10 years