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SAT Math 5.2 Numbers and Operations 200 Views


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Description:

SAT Math 5.2 Numbers and Operations

Language:
English Language

Transcript

00:02

To Shmoop or not to Shmoop. That is not this question. It's math.

00:08

The sum of three consecutive integers is 111.

00:11

What is the largest of the three numbers?

00:15

Alright, first of all, what is this question even asking? Well, it wants us to find 3 integers that,

00:20

when added together, total 111. But the key term here is CONSECUTIVE.

00:26

Meaning that the numbers are all one apart...

00:37

And we're only interested in the largest one.

00:39

The best way to solve this is with a little algebra.

00:42

We’ll represent the smallest of the three numbers with the variable s.

00:47

The next number would be s + 1, and the largest number would be s + 2.

00:51

All three numbers added together equal 111.

00:55

And the equation then looks like: s + s + 1 + s + 2 equals 111.

01:01

Add like terms....s plus s plus s equals 3s…and 1 plus 2 equals 3.

01:08

So 3s + 3 equals 111. Subtract 3 from both sides to get 3s equals 108.

01:16

Divide both sides by 3 to get s equals 36.

01:21

If the smallest number, s, is 36, that means the largest number, s+2, is 38.

01:27

And we're done.

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