Math, asked by Kiruthikkumaran, 10 months ago

Varun is thrice as old as Banu. 4 years ago age was 4 times Banus age. The present age of Varun is

Answers

Answered by abhi569
13

Answer:

36 years.

Step-by-step explanation:

Let :

     Present age of Banu be a ( in years )

     Present age of Varun be 3a ( in years )           { since varun's age is thrice of banu's age }

4 years ago :

            Age of banu = present age - 4

                                  = a - 4

            Age of varun = present age - 4

                                  = 3a - 4

According to the question: 4 years ago varun's age was four times of banu's age.

= > varun's age = 4 x banu's age

= > 3a - 4 = 4( a - 4 )

= > 3a - 4 = 4a - 16

= > 16 - 4 = 4a -3a

= > 12 = a  

= > 12 x 3 = 3 x a

= > 36 = 3a

= > 36 = Varun's present age

Hence, varun's present age is 36.

Answered by Sauron
4

Answer:

Varun is 36 years old.

Step-by-step explanation:

Given :

Varun is thrice as old as Banu

4 years ago = Varun was 4 times Banu

To find :

The present of Varun

Solution :

Let the present ages be -

  • Banu as y
  • Varun as 3y

Ages 4 years back -

  • Banu = (y - 4)
  • Varun = (3y - 4)

⇒ (3y - 4) = 4(y - 4)

⇒ 3y - 4 = 4y - 16

⇒ 3y - 4y = - 16 + 4

⇒ - y = - 12

⇒ y = 12

Banu = 12 years old

Varun's age -

⇒ 3(12)

⇒ 36

Therefore, Varun is 36 years old.

Similar questions