Question

the difference between the number and its three fifth is 40. what is the number?

Answer 1

Answer:

100answer

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Answer 2

Answer:

The number is 100.

Step-by-step explanation:

Given the difference between the number and its three fifth is 40.

Let the number be $x$.

The three fifth of the number can be written as

$\dfrac{3}{5} \times x=\dfrac{3x}{5}$

Since, the difference between the number and its three fifth is equal to 40, this can be written as,

$x-\dfrac{3x}{5}=40$

$\implies\dfrac{5x-3x}{5}=40$

Performing subtraction between the like terms, we get

$\implies\dfrac{2x}{5}=40$

Multiplying both sides with 5, we get

$\implies\dfrac{2x\times 5}{5} =40\times 5\implies 2x=200$

Dividing both sides with 2, we get

$\implies \dfrac{2x}{2} =\dfrac{200}{2}\implies x =100$

Therefore, the number is 100.

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