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Answer :
To find the inverse operation of the given equation [tex]\(115 + 20 = 135\)[/tex], we need to identify an operation that, when performed, will undo the addition and return us to the original number of 115.
Let's evaluate the options provided:
1. [tex]\(135 - 20 = 115\)[/tex]:
This operation subtracts 20 from 135. Since the original problem added 20 to 115 to get 135, subtracting 20 from 135 will reverse that operation, bringing us back to the original number, 115. This is indeed the correct inverse operation.
2. [tex]\(135 + 20 = 155\)[/tex]:
This operation adds 20 to 135. It doesn't reverse the original addition operation; instead, it increases the sum further, which does not help in reversing the initial operation.
3. [tex]\(115 - 135 = -20\)[/tex]:
This operation subtracts 135 from 115, resulting in -20. This does not undo the original addition operation and does not give the number we started with.
4. [tex]\(115 - 20 = 95\)[/tex]:
This operation subtracts 20 from 115, but it doesn't return us to the original total after adding; it simply reduces 115 by 20.
Based on this evaluation, the first option [tex]\(135 - 20 = 115\)[/tex] is the correct inverse operation that reverses the original equation [tex]\(115 + 20 = 135\)[/tex].
Let's evaluate the options provided:
1. [tex]\(135 - 20 = 115\)[/tex]:
This operation subtracts 20 from 135. Since the original problem added 20 to 115 to get 135, subtracting 20 from 135 will reverse that operation, bringing us back to the original number, 115. This is indeed the correct inverse operation.
2. [tex]\(135 + 20 = 155\)[/tex]:
This operation adds 20 to 135. It doesn't reverse the original addition operation; instead, it increases the sum further, which does not help in reversing the initial operation.
3. [tex]\(115 - 135 = -20\)[/tex]:
This operation subtracts 135 from 115, resulting in -20. This does not undo the original addition operation and does not give the number we started with.
4. [tex]\(115 - 20 = 95\)[/tex]:
This operation subtracts 20 from 115, but it doesn't return us to the original total after adding; it simply reduces 115 by 20.
Based on this evaluation, the first option [tex]\(135 - 20 = 115\)[/tex] is the correct inverse operation that reverses the original equation [tex]\(115 + 20 = 135\)[/tex].
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