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.(1 point) Responses 3x−10=25+x3x−10=25+x3 x minus 10 is equal to 25 plus x 3x+10=25−x3x+10=25−x3 x plus 10 is equal to 25 minus x 3(x+10)=25−x3(x+10)=25−x3 times open paren x plus 10 close paren is equal to 25 minus x 3(x−10)=25+x3(x−10)=25+x3 times open paren x minus 10 close paren is equal to 25 plus x
Answers
Answered by
GPT-4o mini
To create the equation based on the provided parameters, we need to break down the statement: "three times the difference of a number and 10 equals the sum of 25 and that same number."
Let's denote the unknown number as \( x \).
1. **Difference of a number and 10**: This can be expressed as \( x - 10 \).
2. **Three times the difference**: This becomes \( 3(x - 10) \).
3. **The sum of 25 and that same number**: This can be expressed as \( 25 + x \).
Now we can set up the equation based on the original statement:
\[
3(x - 10) = 25 + x
\]
So, the equation that satisfies the given parameters is:
**3(x - 10) = 25 + x**
Let's denote the unknown number as \( x \).
1. **Difference of a number and 10**: This can be expressed as \( x - 10 \).
2. **Three times the difference**: This becomes \( 3(x - 10) \).
3. **The sum of 25 and that same number**: This can be expressed as \( 25 + x \).
Now we can set up the equation based on the original statement:
\[
3(x - 10) = 25 + x
\]
So, the equation that satisfies the given parameters is:
**3(x - 10) = 25 + x**