Express the following as algebraic equations and solve.
Six times a number decreased by 3 is 15. Find the number.

Options

A. 4
B. 3
C. 5
D. 6

Answer

To express the given statement as an algebraic equation and solve it, follow these steps:

### Step 1: Define the variable
Let the unknown number be represented by \( x \).

### Step 2: Translate the statement into an equation
The problem states: "Six times a number decreased by 3 is 15."
This can be translated into the equation:
\[ 6x - 3 = 15 \]

### Step 3: Isolate the variable term
To isolate the term with \( x \), add 3 to both sides of the equation:
\[ 6x - 3 + 3 = 15 + 3 \]
This simplifies to:
\[ 6x = 18 \]

### Step 4: Solve for \( x \)
Now, divide both sides by 6 to solve for \( x \):
\[ x = \frac{18}{6} \]
This simplifies to:
\[ x = 3 \]

### Conclusion
The required number is \( 3 \).

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