Math Problem Statement

If 28 less than five times a certain number is 232 what is that number?

Solution

Let the unknown number be xx. According to the problem, "28 less than five times a certain number is 232" can be written as:

5x28=2325x - 28 = 232

Solving for xx:

  1. Add 28 to both sides: 5x=232+285x = 232 + 28 5x=2605x = 260

  2. Divide both sides by 5: x=2605x = \frac{260}{5} x=52x = 52

Final Answer:

The number is 52.

Would you like more details or explanations?

Here are five related questions to expand the concept:

  1. What would the number be if the equation was 5x28=3005x - 28 = 300?
  2. How can this be verified by substituting back into the original equation?
  3. If the equation changed to 5x+28=2325x + 28 = 232, what would the solution be?
  4. What is the algebraic difference if the equation becomes 285x=23228 - 5x = 232?
  5. How can this concept be represented visually or graphically?

Tip: When solving equations, always perform the same operation on both sides to maintain balance.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

General form of a linear equation: ax + b = c

Theorems

Basic principles of equality in algebra

Suitable Grade Level

Grades 6-8