Respuesta :

Answer:

The original number is [tex]83.1[/tex]

Step-by-step explanation:

Let

x -----> the original number

Remember that

[tex]100\%+7.1\%=107.1\%=107.1/100=1.071[/tex]

The increased number is equal to multiply the original number by the factor 1.071

so

[tex]89=1.071x[/tex]

Solve for x

Divide by 1.071 both sides

[tex]x=83.1[/tex]