Math Problem Statement
Product of 7 and a number Increases by 8 is 113 what is the number
Solution
The given problem states:
"The product of 7 and a number increases by 8 is 113."
Let the unknown number be represented by . According to the problem:
To solve for , we can follow these steps:
-
Subtract 8 from both sides:
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Divide both sides by 7:
Thus, the number is 15.
Would you like further details or clarification?
Here are 5 related questions to explore further:
- What is the product of 7 and 15?
- How would you set up a similar equation for different numbers?
- What happens if we change the increase from 8 to another value?
- How can you check if the solution is correct?
- What if the product of 7 and the number decreases by 8 instead?
Tip: Always isolate the variable by performing inverse operations in equations!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
7x + 8 = 113
Theorems
Basic operations in algebra, inverse operations
Suitable Grade Level
Grades 6-8