Multiplying a number by 12 and subtracting 48 from it, the subtraction is 2.4 parts of the original number, then what is the number

Let the unknown number be \( x \).

According to the problem, if we multiply \( x \) by 12 and then subtract 48 from the result, this equals 2.4 times the original number:

\[
12x - 48 = 2.4x
\]

To solve for \( x \), let's isolate \( x \) on one side:

1. Move the term involving \( x \) on the right side to the left side:
   \[
   12x - 2.4x = 48
   \]

2. Simplify the expression on the left side:
   \[
   9.6x = 48
   \]

3. Divide both sides by 9.6 to solve for \( x \):
   \[
   x = \frac{48}{9.6} = 5
   \]

Therefore, the number is:

\[
\boxed{5}
\]

Would you like further clarification on any step?

Here are some related questions that expand on this problem:
1. What would be the number if we multiplied it by 10 and subtracted 20 from it instead?
2. How would the solution change if the final subtraction was instead 3 parts of the original number?
3. What if the result after subtraction was a different constant, say 30 instead of 2.4 parts of the original number?
4. How do we handle such problems if the coefficients were in fractions rather than decimals?
5. What is the solution method if the multiplier and subtracted values were variables instead of constants?

**Tip:** When solving equations, isolating terms with variables on one side helps simplify the equation for an easier solution.

Find the solution to the problem of multiplying a number by 12, subtracting 48, and equating it to 2.4 times the original number. This algebra problem demonstrates key concepts in solving linear equations. Suitable for students in Grades 7-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation