If a number is multiplied by 9 and then decreased by 7, the result is 20. What i

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Question: If a number is multiplied by 9 and then decreased by 7, the result is 20. What is the number?

Options:

Correct Answer: 3

Solution:

Let the number be x. Then, 9x - 7 = 20, so 9x = 27, and x = 3.

If a number is multiplied by 9 and then decreased by 7, the result is 20. What is the number?

If a number is multiplied by 9 and then decreased by 7, the result is 20. What is the number?

Step 1: Let the unknown number be represented by the letter 'x'.
Step 2: According to the problem, if we multiply 'x' by 9, we write it as 9x.
Step 3: After multiplying by 9, we decrease the result by 7. This gives us the expression 9x - 7.
Step 4: The problem states that this result equals 20. We can write this as an equation: 9x - 7 = 20.
Step 5: To solve for 'x', we first need to get rid of the -7. We do this by adding 7 to both sides of the equation: 9x - 7 + 7 = 20 + 7.
Step 6: Simplifying this gives us: 9x = 27.
Step 7: Now, we need to find 'x'. We do this by dividing both sides of the equation by 9: x = 27 / 9.
Step 8: Simplifying this gives us: x = 3.

Algebraic Equations – The question tests the ability to set up and solve a linear equation based on a verbal problem.
Order of Operations – Understanding the correct sequence of operations when manipulating the equation.