ShmoopTube

00:03

Here’s some numbers; shmoop us maybe…

00:09

On a number line, the point X is twice as far from B as it is from A, as shown below. 

00:13

Where else on the number line can X be located and still satisfy the above condition?

00:18

Here are the potential answers…

00:25

Okay, we’ve got another logic problem here.

00:27

No advanced mathematics required, so you can put away the graphing calculator.

00:32

Let’s reason through what the problem is actually asking us.

00:35

We have point X, and we can see by looking at the number line that it’s at “3.”

00:40

A is located at “2” here and B is located at “5” here.

00:44

Sure enough, there are twice as many spots between X and B as between X and A.

00:49

Now… we could come up with a formula to figure this thing out… using absolute value…

00:53

…but our time is precious, and we should be able to test each of our answer choices

00:57

quickly and see which one works.

01:01

If X was at -2, there would be 4 spots between

01:04

X and A… 7 spots between X and B. Not quite double.

01:08

If X was at -1, there would be 3 spots between X and A… 6 spots between X and B.

01:14

Boom goes the dynamite. 6 is twice as much as 3…

01:17

…so our answer is B.

01:19

As in, “Bellyache.”

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