Answer :
Sure! Let's solve the problem step-by-step.
We have the statement: "Seventeen greater than a number is 197." We need to find the unknown number.
1. Set up an equation:
Let's use [tex]\( x \)[/tex] to represent the unknown number. According to the statement, 17 greater than this number equals 197. So, we can write the equation as:
[tex]\[
x + 17 = 197
\][/tex]
2. Solve the equation for [tex]\( x \)[/tex]:
To find [tex]\( x \)[/tex], we need to isolate it on one side of the equation. We do this by subtracting 17 from both sides of the equation:
[tex]\[
x + 17 - 17 = 197 - 17
\][/tex]
Simplifying both sides, we get:
[tex]\[
x = 180
\][/tex]
3. Check the solution:
To ensure our solution is correct, let's check by substituting [tex]\( x = 180 \)[/tex] back into the original condition:
[tex]\[
180 + 17 = 197
\][/tex]
Since both sides of the equation are equal, our solution is confirmed.
Therefore, the number is 180.
We have the statement: "Seventeen greater than a number is 197." We need to find the unknown number.
1. Set up an equation:
Let's use [tex]\( x \)[/tex] to represent the unknown number. According to the statement, 17 greater than this number equals 197. So, we can write the equation as:
[tex]\[
x + 17 = 197
\][/tex]
2. Solve the equation for [tex]\( x \)[/tex]:
To find [tex]\( x \)[/tex], we need to isolate it on one side of the equation. We do this by subtracting 17 from both sides of the equation:
[tex]\[
x + 17 - 17 = 197 - 17
\][/tex]
Simplifying both sides, we get:
[tex]\[
x = 180
\][/tex]
3. Check the solution:
To ensure our solution is correct, let's check by substituting [tex]\( x = 180 \)[/tex] back into the original condition:
[tex]\[
180 + 17 = 197
\][/tex]
Since both sides of the equation are equal, our solution is confirmed.
Therefore, the number is 180.
