Question

Twice the difference of a number and ten is fifty-four. Find the number.

Short answer

Twice the difference of thirty-seven and ten is fifty-four.

Step-by-step solution

Step 1. Given information 

$54$ is equal to the Twice of difference of a number and$10$

Step 2. Solution 

Consider the number is n

Twice the difference of a number and $10$is $54$

$$\begin{gathered} 2(n-10)=54 \\ n-10=\frac{54}{2} \\ n-10=27 \\ n=37 \end{gathered}$$

The number is $37$

Twice the difference of $37$ and$10$ is$54$

Step 3. Verification 

Twice the difference of $37$and $10$is $54$

$$\begin{gathered} 2(37-10)\stackrel{?}{=}54 \\ 2\left(27\right)\stackrel{?}{=}54 \\ 54=54 \end{gathered}$$

The left-hand side is equal to the right-hand side

so our answer is correct

the number is$37$