Write three consecutive odd numbers of sum 93

Let the three consecutive odd numbers be represented as:

- \( x \) (the smallest odd number),
- \( x+2 \) (the middle odd number), 
- \( x+4 \) (the largest odd number).

The sum of these three numbers is 93:

\[
x + (x + 2) + (x + 4) = 93
\]

Simplifying the equation:

\[
3x + 6 = 93
\]

Now, subtract 6 from both sides:

\[
3x = 87
\]

Next, divide by 3:

\[
x = 29
\]

So, the three consecutive odd numbers are:

\[
29, 31, 33
\]

Their sum is \( 29 + 31 + 33 = 93 \), which satisfies the condition.

Would you like any more details or have any questions?

Here are 5 related questions for practice:
1. Find three consecutive even numbers whose sum is 72.
2. What is the sum of four consecutive odd numbers starting from 13?
3. Find two consecutive odd numbers whose sum is 44.
4. Determine five consecutive odd numbers with a sum of 115.
5. What is the sum of the three largest consecutive odd numbers less than 50?

**Tip:** When solving problems involving consecutive numbers, always express each number in terms of the first one to simplify equations.

Write three consecutive odd numbers of sum 93.

Discover how to solve the problem of finding three consecutive odd numbers with a sum of 93. This algebraic problem introduces concepts like consecutive numbers and linear equations, suitable for students in Grades 6-8.

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