Step-by-step explanation:
Let's solve this problem step by step.
You have a number, let's call it \( x \). The problem states:
1. **Four times a number increased by 40:** This can be written as \( 4x + 40 \).
2. **The answer is the same as when 100 is decreased by the number:** This can be written as \( 100 - x \).
According to the problem, these two expressions are equal:
\[
4x + 40 = 100 - x
\]
Now, solve for \( x \):
First, add \( x \) to both sides to eliminate \( -x \) on the right:
\[
4x + x + 40 = 100
\]
This simplifies to:
\[
5x + 40 = 100
\]
Next, subtract 40 from both sides:
\[
5x = 60
\]
Finally, divide by 5:
\[
x = 12
\]
So, the number is \( x = 12 \).