Product of 7 and a number Increases by 8 is 113 what is the number 

The given problem states: 

"The product of 7 and a number increases by 8 is 113."

Let the unknown number be represented by \( x \). According to the problem:

\[
7x + 8 = 113
\]

To solve for \( x \), we can follow these steps:

1. Subtract 8 from both sides:
   \[
   7x = 113 - 8
   \]
   \[
   7x = 105
   \]

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

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!

Product of 7 and a number increases by 8 is 113. What is the number?

Learn how to solve the algebraic equation where the product of 7 and a number increases by 8 to give 113. This step-by-step solution covers key concepts in algebra and linear equations. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation