Sure, let's solve this step by step.
1. Identify the given information:
- We are told that the sum of a number and 23 is 78.
2. Set up an equation:
- Let the unknown number be represented by [tex]\( x \)[/tex].
- According to the problem, the sum of [tex]\( x \)[/tex] and 23 is 78. This can be written as:
[tex]\[
x + 23 = 78
\][/tex]
3. Solve for [tex]\( x \)[/tex]:
- To find the value of [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. This can be done by subtracting 23 from both sides of the equation:
[tex]\[
x + 23 - 23 = 78 - 23
\][/tex]
4. Simplify the equation:
- On the left side, [tex]\( +23 \)[/tex] and [tex]\(-23\)[/tex] cancel each other out, leaving us with:
[tex]\[
x = 55
\][/tex]
5. Verify the solution:
- To ensure our solution is correct, we can substitute [tex]\( x = 55 \)[/tex] back into the original equation and check if the equality holds:
[tex]\[
55 + 23 = 78
\][/tex]
- Since [tex]\( 55 + 23 \)[/tex] equals 78, our solution is verified to be correct.
Therefore, the original number is [tex]\( \boxed{55} \)[/tex].
