Question

Amitabh is 30 years older than Abhishek. 4 years back, Amitabh was thrice the age of Abhishek. How old is Amitabh?​

Answer 1

Answer:

Let Abhishek age be X yrs

then Amithabh age=X + 30 yrs

4 yrs back

Abhishek age =X - 4yrs

& Amithabh age = X + 30 - 4 yrs

A/Q

X + 30 - 4 = 3(X - 4 )

or X + 26 = 3X - 12

or X - 3 X = -12-26

or -2X = -38

or X = 19

Hence age of Amithabh= X + 30

= 19 + 30 yrs

= 49 yrs

Answer 2

Amitabh is 49 years old.

Given : Amitabh is 30 years older than Abhishek. 4 years back, Amitabh was thrice the age of Abhishek.

To find : The current age of Amitabh.

Solution :

We can simply solve this mathematical problem by using the following mathematical process.

Let, the present age of Abhishek = x years

So,

Present age of Amitabh = (x+30) years

4 years back :

• Age of Abhishek = (x-4) years
• Age of Amitabh = (x+30-4) = (x+26) years

According to the data mentioned in the question,

3 × (x-4) = (x+26)

3x - 12 = x + 26

3x - x = 26 + 12

2x = 38

x = 38/2

x = 19

Present age of Abhishek = x years = 19 years

Present age of Amitabh = (x+30) years = (19+30) = 49 years

Hence, Amitabh is 49 years old.