Certainly! Let's solve the problem step by step without referring to any code.
### Step 1: Define the Problem
We need to find an unknown number, say [tex]\( x \)[/tex], which satisfies the condition described in the problem:
"Ten more than the quotient of a number and five is twenty."
### Step 2: Translate the Problem into a Mathematical Equation
1. Quotient of a number and five: This can be expressed as [tex]\( \frac{x}{5} \)[/tex].
2. Ten more than the quotient: We add 10 to the quotient, so it becomes [tex]\( \frac{x}{5} + 10 \)[/tex].
3. This is equal to twenty: According to the problem, the expression above equals 20. Hence, we write:
[tex]\[
\frac{x}{5} + 10 = 20
\][/tex]
### Step 3: Solve the Equation
1. Isolate the quotient term: Subtract 10 from both sides of the equation to isolate [tex]\( \frac{x}{5} \)[/tex].
[tex]\[
\frac{x}{5} + 10 - 10 = 20 - 10
\][/tex]
Simplifying this, we get:
[tex]\[
\frac{x}{5} = 10
\][/tex]
2. Solve for [tex]\( x \)[/tex]: Multiply both sides of the equation by 5 to solve for [tex]\( x \)[/tex].
[tex]\[
x = 10 \times 5
\][/tex]
Thus,
[tex]\[
x = 50
\][/tex]
### Conclusion
The unknown number [tex]\( x \)[/tex] that satisfies the condition is [tex]\( x = 50 \)[/tex].
