Question

Vikas is three years older than Deepika six years ago Vikas age was 4 times Deepika's age find the ages of Deepika and Vikas

Answer 1

Answer:

7 & 10 years

Step-by-step explanation:

Let say deepika age = D years

Vikas age would be = D+3 years

Six years ago deepika age = D -6 years

Six years ago vikas age = D+3 -6

= D-3 years

As per question data

D-3 = 4×(D-6)

D -3 = 4D -24

3D = 21

D = 7

So deepkia current Age = 7 years

Vikas current age = 7+3 = 10 years

Six years ago their ages were 1 & 4 years

Answer 2

In the above question, it is said/told to find the present ages of Deepak and Vikas.

So,

Let the present age of Deepak be 'x' years.
So, Vikas's present age=(x+3) years

6 years ago:-

Deepak's age=(x-6) years
Vikas's age=(x+3-6) years
=(x-3) years

According to the question:-
Six years ago, Vikas's age was four times Deepak's age.

(x-3)=4(x-6)
x-3=4x-24
x-4x=-24+3
-3x=-21
3x=21 (after cutting ‘-’ sign)
x=21/3
x=7

So, Deepak's present age ='x' years=7 years

Vikas's present age=(x+3) years=(7+3) years=10 years