Question

write and solve an equation to represent the relationship a number decreased by 7 is the same as 48

Answer 1

To represent the relationship "a number decreased by 7 is the same as 48," we can use a variable to represent the unknown number. Let's use \( x \) for that number.

The equation can be written as:

\[
x - 7 = 48
\]

Now, we will solve for \( x \):

1. Add 7 to both sides of the equation:
\[
x - 7 + 7 = 48 + 7
\]

2. Simplifying both sides gives us:
\[
x = 55
\]

So, the number is \( 55 \).

**Verification:**
If we decrease 55 by 7, we have:
\[
55 - 7 = 48
\]
This confirms that our solution is correct. The number is indeed \( 55 \).