Question

When a number is increased by 7.1%, the result is 89. What is the original number to the nearest tenth?​

Answer 1

The original number is
`83.1`

Explanation:

Let

x -----> the original number

Remember that

`100\%+7.1\%=107.1\%=107.1/100=1.071`

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

so

`89=1.071x`

Solve for x

Divide by 1.071 both sides

`x=83.1`