Question

The ratio of the number of stamps with rahul to the number of stamps with sahil is 4:5. If there are 54stamps in all, how many stamps does sahil have??
Plz explain this question step by step

Answer 1

4x+5x=54

9x=54

x=54/9

x=6

Therefore, Sahil have 5x=5×6=30 stamps

Answer 2

Answer:

★ Given :

• Ratio of no.of stamps with Rahul and Sahil is 4:5

• There are 54 stamps in total .

Then :

★ Solution :

Take the no.of stamps as x.

Let, the ratio be 4x and 5x,

( substitute in Equation )

⟶ 4x + 5x = 54

⟶ 9x = 54

⟶ x = 54 / 9

⟶ x = 6

So, x = 6.

• Rahul = 4x

• ⟶ 4x = 4 × 6

• ⟶ 4x = 24

∴ Rahul have 24 stamps.

• Sahil = 5x

• ⟶ 5x = 5 × 6

• ⟶ 5x = 30

∴ Sahil have 30 stamps.

★ Let's verify :

⟶ 4x + 5x = 54

⟶ 24 + 30 = 54

⟶ 54 = 54

∴ LHS = RHS

As per the Question , Sahil have 30 stamps.