Question

The sum of the ages of Rama and Krishna is 32. In two years Rama will be three times as old as Krishna. Then the age of Krishna was

Answer 1

Answer:

• Present age of Krishna = 7 years.
• Present age of Rama = 25 years.

Step-by-step explanation:

Given:

• Sum of ages of Rama and Krishna = 32.
• In two years Rama will be three times as old as Krishna.

To Find:

• Age of Krishna.

Now according to question,

Let present age of Rama be 'x' years.

And, present age of Krishna be 'y' years.

=> x + y = 32 ......(1)

Two years later,

=> (x + 2) = 3(y + 2)

=> x + 2 = 3y + 6

=> x = 3y + 4 ........(1)

Now, put the value of 'x' in equation (1), we get

=> x + y = 32

=> 3y + 4 + y = 32

=> 4y = 32 - 4

=> 4y = 28

=> y = 28/4

=> y = 7 years.

Hence,

• Present age of Krishna = 7 years.
• Present age of Rama = 32 - 7 = 25 years.

Answer 2

Answer:

Let Age of Ram be R and, of Krishna be K

★ We Have Given that :

↠ Ram + Krishna = 32

↠ R + K = 32

↠ R = (32 – K) — eq.( I )

____________________

★ After Two Years :

⇴ Ram = Three Times of Krishna

⇴ (R + 2) = 3(K + 2)

• Putting the value of R from eq. ( I )

⇴ (32 – K + 2) = 3(K + 2)

⇴ 34 – K = 3K + 6

⇴ 34 – 6 = 3K + K

⇴ 28 = 4K

• Dividing both term by 4

⇴ K = 7 years (Krishna Age)

⇴ R = (32 – K) = (32 – 7) = 25 years (Ram)

∴ Therefore, Age of Krishna was 7 years.

━━━━━━━━━━━━━━━━━━━━━━━━

★ VERIFICATION :

⇢ Ram = Three Times of Krishna

⇢ (R + 2) = 3(K + 2)

• putting the values

⇢ (25 + 2) = 3(7 + 2)

⇢ 27 = 3(9)

⇢ 27 years = 27 years VERIFIED!