Question

Rama is thrice as old as Panav. Ten years ago, his age was four times Panav's age. Find their present ages?​

Answer 1

Let, Present age of Panav = x

Present aqe of Rama = 3x

Ten years ago,

Age of Panav = x -10

Age of Rama 3x -10

Also, Rama's age was four times Panav's age.

So,

4(x - 10) = 3x - 10

=> 4x - 40 = 3x - 10

=> 4x - 3x = - 10 + 40

=> x = 30

Present age of Panav 30 years

Present age of Rama = 3x = (3×30) = 90 years

Answer:

Present age of Panav is 30 years and present age of Rama is 90 years.

Answer 2

Given:

• Rama is thrice as old as Panav.
• Ten years ago, his age was four times Panav's age.

To Find:

• Their present ages

Solution:

Let preset age of Panav = m years

So, present age of Rama = 3mㅤ

Before ten years:

• Panav's age = (m - 10) years
• Rama's age = (3m - 10) years

Rama's age = 4(m - 10)

⇢ 3m - 10 = 4(m - 10)

⇢ 3m - 10 = 4m - 40

⇢ -10 + 40 = 4m - 3m

⇢ 30 = m

⇢ m = 30

Hence, 

Present age of Panav = 30 years.

Putting value of m:

⇢ Present age of Rama = 3m

⇢ Present age of Rama = 3 × 30

⇢ Present age of Rama = 90 years

Hence,

Present age of Rama = 90 years