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.(1 point)
Responses
2x+24=76−x
2 x plus 24 is equal to 76 minus x
2x+24=x−76
2 x plus 24 is equal to x minus 76
2(x+24)=76−x
2 times open paren x plus 24 close paren is equal to 76 minus x
2(x+24)=x−76
Responses
2x+24=76−x
2 x plus 24 is equal to 76 minus x
2x+24=x−76
2 x plus 24 is equal to x minus 76
2(x+24)=76−x
2 times open paren x plus 24 close paren is equal to 76 minus x
2(x+24)=x−76
Answers
GPT-4o mini
To formulate the equation based on the given parameters:
The problem states that "two times the sum of a number and 24 equals the difference of 76 and that same number."
Let's break it down:
1. Let the number be represented by \( x \).
2. The sum of the number and 24 is \( x + 24 \).
3. Two times this sum is \( 2(x + 24) \).
4. The difference of 76 and that same number is \( 76 - x \).
Putting it all together, we can write the equation as:
\[ 2(x + 24) = 76 - x \]
Thus, the correct response is:
**2(x + 24) = 76 - x**.
The problem states that "two times the sum of a number and 24 equals the difference of 76 and that same number."
Let's break it down:
1. Let the number be represented by \( x \).
2. The sum of the number and 24 is \( x + 24 \).
3. Two times this sum is \( 2(x + 24) \).
4. The difference of 76 and that same number is \( 76 - x \).
Putting it all together, we can write the equation as:
\[ 2(x + 24) = 76 - x \]
Thus, the correct response is:
**2(x + 24) = 76 - x**.