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 xx. According to the problem:

7x+8=1137x + 8 = 113

To solve for xx, we can follow these steps:

  1. Subtract 8 from both sides: 7x=11387x = 113 - 8 7x=1057x = 105

  2. Divide both sides by 7: x=1057x = \frac{105}{7} x=15x = 15

Thus, the number is 15.

Would you like further details or clarification?

Here are 5 related questions to explore further:

  1. What is the product of 7 and 15?
  2. How would you set up a similar equation for different numbers?
  3. What happens if we change the increase from 8 to another value?
  4. How can you check if the solution is correct?
  5. 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