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

Answer:

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

Step-by-step explanation:

Let,

Present age of Panav = x

Present age 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

Present age of Rama = 90 years

Therefore, present age of Panav is 30 years and present age of Rama is 90 years.

Answer 2

• Present age of Panav = 30 years
• Present age of Rama = 90 years

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Explanation :

G I V E N :

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

T OㅤF I N D :

• Their present ages = ?

S O L U T I O N :

• Let preset age of Panav = m years
• So, present age of Rama = 3mㅤ(ℹ)

★ Before ten years :-

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

Also,

A/q,

• Rama's age = 4(m - 10)ㅤㅤㅤㅤ(ℹℹℹ)

★ Comparing (ℹℹ) and (ℹℹℹ) :-

➵ㅤㅤㅤ3m - 10 = 4(m - 10)

➵ㅤㅤㅤ3m - 10 = 4m - 40

➵ㅤㅤㅤ-10 + 40 = 4m - 3m

➵ㅤㅤㅤ30 = m

➵ㅤㅤㅤm = 30

∴ Hence, present age of Panav = 30 ㅤㅤㅤyears.

★ Putting value of m in (ℹ) :-

➵ㅤㅤㅤPresent age of Rama = 3m

➵ㅤㅤㅤPresent age of Rama = 3 × 30

➵ㅤㅤㅤPresent age of Rama = 90 years

∴ Hence, present age of Rama = 90 ㅤㅤㅤyears.$\:$

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