00:01
So we have two whole numbers whose product is 650, and they add up to 51.
00:04
Let's figure out what they are.
00:06
Well, let's call them a and b.
00:09
We have that a times b is equal to 650, which i am going to notice is 13 times 5 cubed times 2 squared.
00:24
I think, hold on.
00:26
13 times 25.
00:28
Already too big.
00:31
It's 13 times 5 is 65, times 5 times 2.
00:36
So, okay, so 13 times 5 squared times just 2.
00:38
It's that.
00:42
Which is great, which is cool.
00:45
The reason that i've done this is that this lets us figure out what a and b could possibly be, right? because we know that one of them has to be a multiple of 13, but not the other one.
01:03
And between them, they have to have two factors of 5 and one factor of 2.
01:07
How can we split up these factors, 13 times 5 times 5 times 2, to get 51? well, what i noticed really quick is that 5 times 5 is 25, which is close to half of 51...