A number is divided by 2 and then increased by 7 to equal 15. What is the number

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Question: A number is divided by 2 and then increased by 7 to equal 15. What is the number?

Options:

Correct Answer: 10

Solution:

Let the number be x. The equation is x/2 + 7 = 15. Subtracting 7 gives x/2 = 8, so x = 16.

A number is divided by 2 and then increased by 7 to equal 15. What is the number?

A number is divided by 2 and then increased by 7 to equal 15. What is the number?

Step 1: Let the unknown number be represented by 'x'.
Step 2: According to the problem, when 'x' is divided by 2, and then 7 is added, the result is 15. This can be written as the equation: x/2 + 7 = 15.
Step 3: To solve for 'x', first subtract 7 from both sides of the equation. This gives us: x/2 = 15 - 7.
Step 4: Calculate the right side: 15 - 7 equals 8. Now the equation is: x/2 = 8.
Step 5: To find 'x', multiply both sides of the equation by 2. This gives us: x = 8 * 2.
Step 6: Calculate the right side: 8 * 2 equals 16. Therefore, the number is 16.

Algebraic Manipulation – The question tests the ability to set up and solve a simple algebraic equation.
Order of Operations – Understanding the correct order of operations when manipulating equations.