The sum of three consecutive numbers is 93. The greatest among these three numbers is

Options

A. (a) 27
B. (b) 28
C. (c) 30
D. (d) 32

Answer

To solve the problem of finding the greatest among three consecutive numbers whose sum is 93, we can follow these steps:

### Step 1: Define the Variables
Let the smallest of the three consecutive numbers be represented as \( x \). Therefore, the three consecutive numbers can be expressed as:
- First number: \( x \)
- Second number: \( x + 1 \)
- Third number: \( x + 2 \)

### Step 2: Set Up the Equation
According to the problem, the sum of these three numbers is 93. We can set up the equation:
\[ x + (x + 1) + (x + 2) = 93 \]

### Step 3: Simplify the Equation
Now, let's simplify the left side of the equation:
\[ x + x + 1 + x + 2 = 93 \]
This simplifies to:
\[ 3x + 3 = 93 \]

### Step 4: Solve for \( x \)
Next, we will isolate \( x \) by first subtracting 3 from both sides:
\[ 3x = 93 - 3 \]
\[ 3x = 90 \]
Now, divide both sides by 3:
\[ x = \frac{90}{3} \]
\[ x = 30 \]

### Step 5: Find the Greatest Number
Now that we have the value of \( x \), we can find the greatest number among the three consecutive numbers:
\[ \text{Greatest number} = x + 2 = 30 + 2 = 32 \]

### Final Answer
The greatest among the three consecutive numbers is **32**.

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