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ACT Math: Pre-Algebra Drill 5, Problem 2. If a and b are prime numbers, how many factors does ab have?
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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
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.
Full Transcript
- 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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