Question

The ratio between present age
Jof. Ram and Shyam is 3:2. After 4
years Ram's age will be 6 years more
than Shyam. What is present age of
shyam.​

Answer 1

Given :-

• The ratio between present age of. Ram and Shyam is 3:2.  
•  After 4 years Ram's age will be 6 years more than Shyam.  

To Find :-

• What is present age of Shyam ?

Solution :-

~Here, we’re given the ratios of present ages of Ram and Shyam and we need to find the present age of Shyam. Firstly, we’ll assume their present ages according to the given ratios and then we’ll form an equation by the condition given to us. After solving that equation we can find present age of Shyam.  

____________

→ Let the present age of Ram be ‘ 3x ’ years

→ And Shyam’s age be ‘ 2x ’ years

After four years :

• Ram’s age = ( 3x + 4 ) years  
• Shyam’s age = ( 2x + 4 ) years  

According to the question :-

➟  3x + 4 = 2x + 4 + 6  

➟  3x + 4 = 2x + 10  

➟  3x – 2x = 10 – 4

↬ x = 6  

Finding Shyam’s age :-

➟  2( x )  

➟  2 × 6  

↬ 12 years

____________

Hence,  

• Present age of Shyam is 12 years

Answer 2

Given:-

• The ratio between present age of. Ram and Shyam is 3:2.
• After 4 years Ram's age will be 6 years more than Shyam.

⠀

To Find:-

• Present age of Shyam.

⠀

Solution:-

Let,

• the present age of Ram be 3x.
• the present age of Shyam be 2x.

⠀

After 4 years,

• Ram’s age = (3x + 4)
• Shyam’s age = (2x + 4)

⠀

According to the question,

⠀

⇢ 3x + 4 = 2x + 4 + 6

⇢ 3x + 4 = 2x + 10

⇢ 3x - 2x = 10 - 4

⇢ x = 6

⠀

Now,

⇢ 2x

⇢ 2(6)

⇢ 12 years

⠀

Hence,

• Present age of Shyam is 12 years.