Question

difference between a number and one fifth of itself is 24. find the number​

Answer 1

Answer:

​32

Step-by-step explanation:

Let the number = x

According to the condition  

X – (1/4)x = 24

⇒ (4x – x)/x = 24 ⇒ 3x/4 = 24

⇒ x = 24 × 4/3 ⇒ 3x/4 = 24

⇒ x = 24 × 4/3 ⇒ x = 8 × 4

⇒ x = 32

∴ Number = 32

Answer 2

Answer:

The required number is $30$.

Step-by-step explanation:

Given : The difference between a number and one fifth of itself is $24$.

To find : The number = ?

Solution :

• It is given that the difference between a number and one fifth of itself is $24$.

• We have to find the number.
• Let, $x$ be the number.
• According to given condition, we get an equation,

       $x-\frac{1}{5} *x=24$

         ∴ $x-\frac{x}{5}=24$

• Now, by cross multiplication, we get

      ∴ $\frac{5x-x}{5} =24$    

• Transpose $5$ to other side, we get

      ∴ $5x-x=24*5$

            ∴ $4x=120$

              ∴ $x=\frac{120}{4}$

              ∴ $x=30$

• ∴ The required number is $30$.