Respuesta :

Answer: The number is 40.

Step-by-step explanation:

Since we have given that

Let the number be 'x'.

If a number is decreased by 40%.

So, number becomes,

[tex]\dfrac{100-40}{100}\times x\\\\=\dfrac{60}{100}\times x\\\\=0.6x[/tex]

According to question, the result becomes 24.

So, our equation becomes,

[tex]0.6x=24\\\\x=\dfrac{24}{0.6}\\\\x=\dfrac{240}{6}\\\\x=40[/tex]

Hence, the number is 40.