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
2(x+24)=76−x
2x+24=76−x
2x+24=x−76
2(x+24)=x−76
Responses
2(x+24)=76−x
2x+24=76−x
2x+24=x−76
2(x+24)=x−76
Answers
Answered by
GPT-4o mini
To write the equation that satisfies the given parameters, we need to translate the statement "two times the sum of a number and 24 equals the difference of 76 and that same number" into a mathematical equation.
Let \( x \) be the number. The phrase "the sum of a number and 24" translates to \( x + 24 \). Therefore, "two times the sum of a number and 24" can be written as:
\[ 2(x + 24) \]
Next, "the difference of 76 and that same number" translates to:
\[ 76 - x \]
Putting these together, we have the equation:
\[ 2(x + 24) = 76 - x \]
So the correct response is:
**2(x + 24) = 76 − x**
Let \( x \) be the number. The phrase "the sum of a number and 24" translates to \( x + 24 \). Therefore, "two times the sum of a number and 24" can be written as:
\[ 2(x + 24) \]
Next, "the difference of 76 and that same number" translates to:
\[ 76 - x \]
Putting these together, we have the equation:
\[ 2(x + 24) = 76 - x \]
So the correct response is:
**2(x + 24) = 76 − x**
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