If a number is multiplied by 6 and then increased by 5, the result is 41. What i

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Question: If a number is multiplied by 6 and then increased by 5, the result is 41. What is the number?

Options:

Correct Answer: 8

Solution:

Let the number be x. The equation is 6x + 5 = 41. Subtracting 5 gives 6x = 36, so x = 6.

If a number is multiplied by 6 and then increased by 5, the result is 41. What is the number?

If a number is multiplied by 6 and then increased by 5, the result is 41. What is the number?

Step 1: Let the unknown number be represented by 'x'.
Step 2: According to the problem, if we multiply 'x' by 6 and then add 5, we get 41. This can be written as the equation: 6x + 5 = 41.
Step 3: To solve for 'x', we first need to get rid of the +5. We do this by subtracting 5 from both sides of the equation: 6x + 5 - 5 = 41 - 5.
Step 4: This simplifies to: 6x = 36.
Step 5: Now, we need to find 'x'. We do this by dividing both sides of the equation by 6: 6x / 6 = 36 / 6.
Step 6: This simplifies to: x = 6.
Step 7: Therefore, the number we are looking for is 6.

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