Answer :
To find the inverse operation of the given equation [tex]\( 115 + 20 = 135 \)[/tex], we need to identify an operation that will reverse the effect of adding 20 to 115. In mathematics, the inverse operation of addition is subtraction.
1. Start with the result of the original equation, which is 135.
2. Subtract the number that was added in the original equation, which is 20.
3. Perform the calculation:
[tex]\[
135 - 20 = 115
\][/tex]
This subtraction gives us the original number, 115.
Now, let's look at the options provided and see which one matches this inverse operation:
- [tex]\( 135 - 20 = 115 \)[/tex] – This is the correct inverse operation: subtracting 20 from 135 returns 115.
- [tex]\( 115 - 20 = 95 \)[/tex] – This does not reverse the operation; it results in a smaller number.
- [tex]\( 115 - 135 = -20 \)[/tex] – This also doesn't reverse the operation; it’s an unrelated subtraction.
- [tex]\( 135 + 20 = 155 \)[/tex] – This is another addition, not an inverse operation.
Thus, the correct inverse operation is:
[tex]\[
135 - 20 = 115
\][/tex]
1. Start with the result of the original equation, which is 135.
2. Subtract the number that was added in the original equation, which is 20.
3. Perform the calculation:
[tex]\[
135 - 20 = 115
\][/tex]
This subtraction gives us the original number, 115.
Now, let's look at the options provided and see which one matches this inverse operation:
- [tex]\( 135 - 20 = 115 \)[/tex] – This is the correct inverse operation: subtracting 20 from 135 returns 115.
- [tex]\( 115 - 20 = 95 \)[/tex] – This does not reverse the operation; it results in a smaller number.
- [tex]\( 115 - 135 = -20 \)[/tex] – This also doesn't reverse the operation; it’s an unrelated subtraction.
- [tex]\( 135 + 20 = 155 \)[/tex] – This is another addition, not an inverse operation.
Thus, the correct inverse operation is:
[tex]\[
135 - 20 = 115
\][/tex]
