Question

Write the equation that satisfies the parameters: three times the difference of a number and 10 equals the sum of 25 and that same number.
A) 3(x + 10) = 25 - x
B) 3x + 10 = 25 - x
C) 3x - 10 = 25 + x
D) 3(x - 10) = 25 + x

Answer 1

Let's break down the statement: "three times the difference of a number and 10 equals the sum of 25 and that same number."

First, we'll define the variable:
- Let \( x \) be the number.

The phrase "the difference of a number and 10" can be expressed as \( x - 10 \).

Next, "three times the difference" means we need to multiply that difference by 3:
\[
3(x - 10)
\]

Now, the statement says this is equal to "the sum of 25 and that same number":
\[
25 + x
\]

Putting it all together, we have the equation:
\[
3(x - 10) = 25 + x
\]

Now, let's look at the options provided:

A) \( 3(x + 10) = 25 - x \)
B) \( 3x + 10 = 25 - x \)
C) \( 3x - 10 = 25 + x \)
D) \( 3(x - 10) = 25 + x \)

The correct answer is:
**D) \( 3(x - 10) = 25 + x \)**