A number is decreased by 9 and then multiplied by 2 to give 10. What is the numb

₹0.0

Question: A number is decreased by 9 and then multiplied by 2 to give 10. What is the number?

Options:

Correct Answer: 14

Solution:

Let the number be x. The equation is 2(x - 9) = 10. Dividing by 2 gives x - 9 = 5, so x = 14.

A number is decreased by 9 and then multiplied by 2 to give 10. What is the number?

A number is decreased by 9 and then multiplied by 2 to give 10. What is the number?

Step 1: Let's call the unknown number 'x'.
Step 2: According to the problem, we first decrease the number by 9. This can be written as 'x - 9'.
Step 3: Next, we multiply the result by 2. This gives us '2(x - 9)'.
Step 4: We know that this result equals 10, so we can write the equation: 2(x - 9) = 10.
Step 5: To solve for 'x', we first divide both sides of the equation by 2. This simplifies to 'x - 9 = 5'.
Step 6: Now, we add 9 to both sides of the equation to isolate 'x'. This gives us 'x = 5 + 9'.
Step 7: Finally, we calculate '5 + 9' which equals 14. Therefore, the number is 14.

Algebraic Manipulation – The question tests the ability to set up and solve a linear equation based on a verbal description.
Order of Operations – Understanding the sequence of operations (decrease, then multiply) is crucial for correctly forming the equation.