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:

Vikas's age = 10 years

Deepika's age = 7 years

Step-by-step explanation:

Let the age of Vikas be V years.

Deepika's age be D years.

According to question:

V = D + 3

Six years ago,

V - 6 = 4(D - 6)

→ V = 4D - 24 + 6

→ V = 4D - 18

By comparison method:

D + 3 = 4D - 18

→ 4D - D = 3 + 18

→ 3D = 21

→ D = 7

Putting the value of D:

V = 7 + 3 = 10

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Answer 2

Answer:

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Step-by-step explanation:

Let deepika age be x years

Vikas age = x + 3

6 years ago:

Deepika age = x - 6

Vikas age = x+3-6 = x-3

As per the question, vikas age is 4 times the deepika age

x - 3 =  4(x-6)

x-3 = 4x - 24

3x = 21

x = 7

Deepika age = 7 yrs

Vikas age = 7+3 = 10