Math Problem Statement
Write three consecutive odd numbers of sum 93
Solution
Let the three consecutive odd numbers be represented as:
- (the smallest odd number),
- (the middle odd number),
- (the largest odd number).
The sum of these three numbers is 93:
Simplifying the equation:
Now, subtract 6 from both sides:
Next, divide by 3:
So, the three consecutive odd numbers are:
Their sum is , which satisfies the condition.
Would you like any more details or have any questions?
Here are 5 related questions for practice:
- Find three consecutive even numbers whose sum is 72.
- What is the sum of four consecutive odd numbers starting from 13?
- Find two consecutive odd numbers whose sum is 44.
- Determine five consecutive odd numbers with a sum of 115.
- 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.
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Math Problem Analysis
Mathematical Concepts
Algebra
Consecutive Numbers
Linear Equations
Formulas
x + (x + 2) + (x + 4) = sum
3x + 6 = sum
Theorems
-
Suitable Grade Level
Grades 6-8