Respuesta :
Answer:
The initial number is -1218.321.
Step-by-step explanation:
Let the initial number be 'x'.
The number 'x' is divided into 104.13.
So, we divide the number 'x' by 104.13. This gives,
[tex]\dfrac{x}{104.13}[/tex]
Now, the quotient is multiplied by 4. So, this means we need to multiply 4 to the fraction above. This gives,
[tex]\dfrac{x}{104.13}\times 4\\\\\frac{4x}{104.13}[/tex]
Now, 5 is added to the result. This gives,
[tex]\frac{4x}{104.13}+5[/tex]
Now, as per question:
[tex]\frac{4x}{104.13}+5=-41.8 [/tex]
Now, solving for 'x', we add -5 both sides. This gives,
[tex]\frac{4x}{104.13}+5-5=-41.8-5\\\\\frac{4x}{104.13}=-46.8\\\\4x=-46.8\times 104.13\\\\4x=-4873.284\\\\x=\frac{-4873.284}{4}=-1218.321[/tex]
Therefore, the initial number is -1218.321.
