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The difference between a number and 7 is 5. What is the number?

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Question: The difference between a number and 7 is 5. What is the number?

Options:

  1. 10
  2. 12
  3. 8
  4. 6

Correct Answer: 10

Solution:

Let the number be x. The equation is x - 7 = 5. Adding 7 to both sides gives x = 12.

The difference between a number and 7 is 5. What is the number?

Practice Questions

Q1
The difference between a number and 7 is 5. What is the number?
  1. 10
  2. 12
  3. 8
  4. 6

Questions & Step-by-Step Solutions

The difference between a number and 7 is 5. What is the number?
  • Step 1: Understand the question. We need to find a number that, when you subtract 7 from it, the result is 5.
  • Step 2: Let the unknown number be represented by 'x'.
  • Step 3: Write the equation based on the question: x - 7 = 5.
  • Step 4: To solve for x, we need to get rid of the -7. We can do this by adding 7 to both sides of the equation.
  • Step 5: After adding 7 to both sides, the equation becomes: x - 7 + 7 = 5 + 7.
  • Step 6: Simplify both sides: x = 12.
  • Step 7: The number we are looking for is 12.
  • Algebraic Manipulation – The question tests the ability to set up and solve a simple linear equation.
  • Understanding of Absolute Difference – The question requires understanding the concept of difference and how to express it mathematically.
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