If a number is multiplied by 3 and then decreased by 5, the result is 10. What i

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Question: If a number is multiplied by 3 and then decreased by 5, the result is 10. What is the number?

Options:

Correct Answer: 5

Solution:

Let the number be x. Then, 3x - 5 = 10. Solving gives x = 5.

If a number is multiplied by 3 and then decreased by 5, the result is 10. What is the number?

If a number is multiplied by 3 and then decreased by 5, the result is 10. What is the number?

Step 1: Let's call the unknown number 'x'.
Step 2: According to the problem, if we multiply 'x' by 3, we write it as '3x'.
Step 3: Next, we decrease this result by 5, which we write as '3x - 5'.
Step 4: The problem states that this result equals 10, so we write the equation: '3x - 5 = 10'.
Step 5: To solve for 'x', we first add 5 to both sides of the equation: '3x - 5 + 5 = 10 + 5'.
Step 6: This simplifies to '3x = 15'.
Step 7: Now, we divide both sides by 3 to isolate 'x': '3x / 3 = 15 / 3'.
Step 8: This gives us 'x = 5'.

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