Question
Write the equation that satisfies the parameters: two times the sum of a number and 24 equals the difference of 76 and that same number.
A) 2(x + 24) = x - 76
B) 2x + 24 = x - 76
C) 2(x + 24) = 76 - x
D) 2x + 24 = 76 - x
A) 2(x + 24) = x - 76
B) 2x + 24 = x - 76
C) 2(x + 24) = 76 - x
D) 2x + 24 = 76 - x
Answers
GPT-4o mini
To write the equation described in the parameters, we need to break it down step by step based on the statement provided: "two times the sum of a number and 24 equals the difference of 76 and that same number."
1. Let the unknown number be represented by \( x \).
2. The sum of the number and 24 can be expressed as \( x + 24 \).
3. "Two times the sum" means we multiply this by 2, giving us \( 2(x + 24) \).
4. The difference of 76 and that same number is expressed as \( 76 - x \).
Putting it all together, the equation that satisfies the parameters is:
\[
2(x + 24) = 76 - x
\]
Thus, the correct answer is:
C) \( 2(x + 24) = 76 - x \)
1. Let the unknown number be represented by \( x \).
2. The sum of the number and 24 can be expressed as \( x + 24 \).
3. "Two times the sum" means we multiply this by 2, giving us \( 2(x + 24) \).
4. The difference of 76 and that same number is expressed as \( 76 - x \).
Putting it all together, the equation that satisfies the parameters is:
\[
2(x + 24) = 76 - x
\]
Thus, the correct answer is:
C) \( 2(x + 24) = 76 - x \)