A number is increased by 15 and the result is 45. What is the number?

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Question: A number is increased by 15 and the result is 45. What is the number?

Options:

Correct Answer: 30

Solution:

Let the number be x. Then x + 15 = 45. Subtract 15 from both sides: x = 30.

A number is increased by 15 and the result is 45. What is the number?

A number is increased by 15 and the result is 45. What is the number?

Step 1: Let the unknown number be represented by 'x'.
Step 2: According to the problem, when you add 15 to this number, the result is 45. This can be written as the equation: x + 15 = 45.
Step 3: To find the value of x, you need to isolate it. Start by subtracting 15 from both sides of the equation.
Step 4: After subtracting 15 from both sides, the equation becomes: x = 45 - 15.
Step 5: Now, calculate 45 - 15, which equals 30.
Step 6: Therefore, the value of x, or the unknown number, is 30.

Algebraic Manipulation – The question tests the ability to set up and solve a simple linear equation.
Understanding of Operations – It assesses the understanding of addition and subtraction in the context of solving for an unknown.