A number is divided by 2 and then increased by 6 to get 10. What is the number?

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Question: A number is divided by 2 and then increased by 6 to get 10. What is the number?

Options:

Correct Answer: 8

Solution:

Let the number be x. The equation is (x / 2) + 6 = 10. Subtracting 6 from both sides gives x / 2 = 4. Multiplying by 2 gives x = 8.

A number is divided by 2 and then increased by 6 to get 10. What is the number?

A number is divided by 2 and then increased by 6 to get 10. What is the number?

Step 1: Let's call the unknown number 'x'.
Step 2: According to the problem, when we divide 'x' by 2 and then add 6, we get 10. We can write this as an equation: (x / 2) + 6 = 10.
Step 3: To solve for 'x', we first need to get rid of the +6. We do this by subtracting 6 from both sides of the equation: (x / 2) + 6 - 6 = 10 - 6.
Step 4: This simplifies to: x / 2 = 4.
Step 5: Now, we need to get 'x' by itself. We can do this by multiplying both sides of the equation by 2: 2 * (x / 2) = 2 * 4.
Step 6: This simplifies to: x = 8.

Algebraic Manipulation – The question tests the ability to set up and solve a simple algebraic equation.
Order of Operations – Understanding the sequence of operations (division, addition) is crucial for correctly forming the equation.