Math Problem Statement
Find the sum of two consecutive numbers if the smaller one is 43.
Solution
Let the two consecutive numbers be and . According to the problem, the smaller number is 43, so:
The larger number is , so:
Now, the sum of the two numbers is:
Thus, the sum of the two consecutive numbers is 87.
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Here are five related questions to explore further:
- What is the sum of two consecutive numbers if the smaller one is 50?
- How do you represent two consecutive odd numbers algebraically?
- Find the sum of two consecutive even numbers where the smaller one is 22.
- If the sum of two consecutive numbers is 99, what are the numbers?
- How does the sum of two consecutive numbers change as the numbers increase?
Tip: For any consecutive numbers, the sum is always twice the smaller number plus 1!
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Math Problem Analysis
Mathematical Concepts
Algebra
Consecutive Numbers
Formulas
Sum of consecutive numbers: x + (x + 1)
Theorems
Properties of consecutive numbers: the sum is always 2x + 1, where x is the smaller number
Suitable Grade Level
Grades 6-8
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