Question

think of a number. double the number. subtract 6 from the result and divide the number by 2. the quotient will be 20. what is the number? identify an equation and variable.

Answer 1

Let

the number i thought about = x

double the number = 2x

subtract 6 from the result = 2x - 6

Divide the number by 2

$\frac{2x-6}{2}$

The quotient will be 20

$\begin{gathered} \frac{2x-6}{2}=20 \\ 2x-6=40 \\ 2x=40+6 \\ 2x=46 \\ x=\frac{46}{2} \\ x=23 \end{gathered}$

The number is 23.