If a number is multiplied by 7 and then decreased by 14, the result is 0. What i

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Question: If a number is multiplied by 7 and then decreased by 14, the result is 0. What is the number?

Options:

Correct Answer: 2

Solution:

Let the number be x. The equation is 7x - 14 = 0. Adding 14 to both sides gives 7x = 14. Dividing by 7 gives x = 2.

If a number is multiplied by 7 and then decreased by 14, the result is 0. What is the number?

If a number is multiplied by 7 and then decreased by 14, the result is 0. What is the number?

Step 1: Let's call the unknown number 'x'.
Step 2: According to the problem, if we multiply 'x' by 7, we write it as 7x.
Step 3: Then, we decrease this result by 14, which we write as 7x - 14.
Step 4: The problem states that this result equals 0, so we write the equation: 7x - 14 = 0.
Step 5: To solve for 'x', we first add 14 to both sides of the equation: 7x - 14 + 14 = 0 + 14.
Step 6: This simplifies to 7x = 14.
Step 7: Now, we divide both sides by 7 to isolate 'x': 7x / 7 = 14 / 7.
Step 8: This simplifies to x = 2.

Algebraic Equations – The question tests the ability to set up and solve a linear equation based on a verbal description.