Answer :
Sure! Let's break down the problem and find the correct equation step-by-step.
The question asks us to translate the phrase "a number increased by 17 equals 66" into an equation, where the number is represented by [tex]\( k \)[/tex].
1. Identify the Operation:
- The phrase "a number increased by 17" implies that we are adding 17 to a number.
2. Set Up the Equation:
- Starting with the number [tex]\( k \)[/tex], we add 17: [tex]\( k + 17 \)[/tex].
3. Translate to an Equation:
- We know that this expression equals 66, so we set it equal to 66:
[tex]\[
k + 17 = 66
\][/tex]
4. Solution:
- To find the value of [tex]\( k \)[/tex], we need to isolate it by subtracting 17 from both sides of the equation:
[tex]\[
k = 66 - 17
\][/tex]
5. Calculate:
- Performing the subtraction gives us:
[tex]\[
k = 49
\][/tex]
So, the equation that represents the statement is [tex]\( k + 17 = 66 \)[/tex], and the value of the number [tex]\( k \)[/tex] is 49.
The question asks us to translate the phrase "a number increased by 17 equals 66" into an equation, where the number is represented by [tex]\( k \)[/tex].
1. Identify the Operation:
- The phrase "a number increased by 17" implies that we are adding 17 to a number.
2. Set Up the Equation:
- Starting with the number [tex]\( k \)[/tex], we add 17: [tex]\( k + 17 \)[/tex].
3. Translate to an Equation:
- We know that this expression equals 66, so we set it equal to 66:
[tex]\[
k + 17 = 66
\][/tex]
4. Solution:
- To find the value of [tex]\( k \)[/tex], we need to isolate it by subtracting 17 from both sides of the equation:
[tex]\[
k = 66 - 17
\][/tex]
5. Calculate:
- Performing the subtraction gives us:
[tex]\[
k = 49
\][/tex]
So, the equation that represents the statement is [tex]\( k + 17 = 66 \)[/tex], and the value of the number [tex]\( k \)[/tex] is 49.
