Math Problem Statement
Find three consecutive integers with a sum of 93.
Solution
The problem asks to find three consecutive integers that sum up to 93.
Let the three consecutive integers be:
- (the first integer),
- (the second integer),
- (the third integer).
The sum of these three integers is given by:
Simplifying:
Now, subtract 3 from both sides:
Next, divide by 3:
Thus, the three consecutive integers are:
Do you want more details or have any questions?
Here are some related questions you might find interesting:
- What if the sum were 99 instead of 93? How would the integers change?
- How do we handle finding four consecutive integers with a given sum?
- How can we solve for consecutive even integers with a given sum?
- How do we generalize this approach for any number of consecutive integers?
- How do we solve the same problem if the integers are consecutive odd numbers?
Tip: When solving problems involving consecutive integers, always set up the variables so that their sum can be easily simplified (like using for three consecutive numbers).
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Math Problem Analysis
Mathematical Concepts
Algebra
Consecutive Integers
Formulas
x + (x + 1) + (x + 2) = 93
Theorems
-
Suitable Grade Level
Grades 6-8