00:01
So we're asked to write a mathematical model in order to find two numbers.
00:04
The first number we're told is one -fifth of the second number.
00:08
And then we're told that the difference between the two numbers is 28.
00:11
So let's say that x is the first number.
00:13
And we know that x is one -fifth of the second number.
00:16
So it's one -fifth of whatever y is.
00:18
And we know that the difference between these two numbers is 28.
00:21
So if x is one -fifth of y, that means y is the larger of the two numbers.
00:26
So y minus x is going to equal 28.
00:30
And so now i have a mathematical model, a set of equations i can use in order to find the value of the two numbers or what the two numbers are.
00:38
And so we can take either equation and use it to substitute into the other one in order to find the missing value.
00:45
I'm going to avoid working with the fractions...