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When a number is increased by 9%, the result is 99. What is the original number to the nearest tenth?

Respuesta :

calculista

Answer:

The original number is 90.8

Step-by-step explanation:

we know that

[tex]100\%+9\%=109\%=109/100=1.09[/tex]

Let

x -----> the original number

The original number multiplied by 1.09 must be equal to 99

so

[tex]1.09x=99[/tex]

Solve the linear equation for x

Divide by 1.09 both sides

[tex]x=99/1.09[/tex]

[tex]x=90.8[/tex]

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