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.

Question

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

Answer 1

To translate the problem into an equation, let's break it down:

1. Let the unknown number be represented by \( x \).
2. The difference of that number and 10 is \( x - 10 \).
3. Three times this difference is \( 3(x - 10) \).
4. The sum of 25 and that same number is \( 25 + x \).

According to the problem, three times the difference of a number and 10 equals the sum of 25 and that same number. Therefore, we can express this as:

\[ 3(x - 10) = 25 + x \]

This corresponds to option D:

D) \( 3(x - 10) = 25 + x \)