Math Problem Statement
The sum of two consecutive numbers is -161. Find the value of the greater number.
Solution
Let the two consecutive numbers be represented as and , where is the smaller number. According to the problem, the sum of these two numbers is -161. We can express this as the following equation:
Simplifying the equation:
Now, subtract 1 from both sides:
Divide both sides by 2:
Since is the smaller number, the greater number is:
Thus, the value of the greater number is .
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Related questions:
- What is the sum of two consecutive even numbers if their sum is 120?
- How do you find two consecutive odd numbers whose sum is 100?
- What is the equation for the sum of two consecutive numbers if their sum is ?
- How does this method change if the sum of three consecutive numbers is given?
- Can you find three consecutive even numbers whose sum is 180?
Tip: When dealing with consecutive numbers, always set one as and express the next as , , etc.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
x + (x + 1) = -161
2x + 1 = -161
Theorems
Properties of consecutive integers
Solving linear equations
Suitable Grade Level
Grades 6-8