Solve for the Missing Number: 81 minus ? equals 74

Variable Substitution with Two-Digit Numbers

If:

=7 \colorbox{yellow}\\=7

Solve the following subtraction problem:

81= 81- \colorbox{yellow}\\=

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

If:

=7 \colorbox{yellow}\\=7

Solve the following subtraction problem:

81= 81- \colorbox{yellow}\\=

2

Step-by-step solution

To solve this subtraction problem, we'll proceed with the following steps:

  • Step 1: Recognize that the yellow box is equal to 77.
  • Step 2: Replace the yellow box in 81yellow box81 - \text{{yellow box}} with 77.
  • Step 3: Perform the subtraction 81781 - 7.

Let's work through these steps:

Step 1: From the given information, the yellow box is 77.

Step 2: Substitute the yellow box with 77 in the expression.

The expression becomes 81781 - 7.

Step 3: Calculate 81781 - 7. We perform the subtraction:

  • Subtract 77 from 8181:
  • 817=7481 - 7 = 74

The result is 7474.

Therefore, the solution to the problem is 74 74 .

3

Final Answer

74 74

Key Points to Remember

Essential concepts to master this topic
  • Rule: Replace the variable with its given value first
  • Technique: Substitute 7 for yellow box: 817=74 81 - 7 = 74
  • Check: Verify by adding: 74+7=81 74 + 7 = 81

Common Mistakes

Avoid these frequent errors
  • Ignoring the given variable value
    Don't solve 81?=74 81 - ? = 74 without using the yellow box = 7! This makes you work backwards unnecessarily and can lead to confusion. Always substitute the given variable value first, then perform the operation.

Practice Quiz

Test your knowledge with interactive questions

If we have 67 blocks in total, how many blocks will remain if we remove 5 tens and 4 ones?

FAQ

Everything you need to know about this question

Why do I need to substitute the yellow box value first?

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The problem gives you that yellow box = 7 for a reason! This turns the tricky variable problem into a simple subtraction: 817 81 - 7 .

What if I solved it backwards and got 7?

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You're thinking of the missing number in 81?=74 81 - ? = 74 , but the question asks for the result of 817 81 - 7 , which is 74!

How can I check my answer is correct?

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Use inverse operations! Since you subtracted 7, add it back: 74+7=81 74 + 7 = 81 . If you get your starting number, you're right!

Is this the same as solving 81 - x = 74?

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Not quite! That equation would give you x = 7. Here, you already know the yellow box equals 7, so you just calculate 817=74 81 - 7 = 74 .

Why are there multiple choice answers if it's just substitution?

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Multiple choice helps you practice careful reading! Students often confuse what the question is asking for - make sure you understand whether you need to find the variable or the result.

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