Twice a number is 27 more than half the number. What is the number?

Let’s denote the unknown number as x. According to the problem, we can translate the statement into a mathematical equation:

Twice the number: 2x

Half the number: 0.5x

Now, according to the information provided, we can set up the equation:

2x = 0.5x + 27

Next, we need to isolate x. To do this, we can subtract 0.5x from both sides:

2x – 0.5x = 27

This simplifies to:

1.5x = 27

Now, we can solve for x by dividing both sides by 1.5:

x = 27 / 1.5

When we calculate that, we find:

x = 18

Thus, the number we are looking for is 18.

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