00:01
All right, so for this question, we have the following information between mike and joanne.
00:05
We know that mike is five years older than joanne, and that in 10 years, the sum of their ages is going to be 57, and we're trying to solve their current age.
00:18
So this is, we're going to use the same principles that we used before, where we're going to try to be selling for two unknown variables.
00:29
And these are going to be in your equations and raise to the power of one.
00:35
We're going to use the fact that addition and subtraction will undo each other in multiplication and division will undo each other too.
00:42
So we have mike and joanne.
00:45
Mike is five years older than joanne.
00:48
So we know that mike's current age.
00:52
Let me just write it down.
00:55
Mike's current age is equal to joanne's plus five because he's five years older than joanne.
01:04
And we know that in 10 years, the sum of both of their ages is going to be 57.
01:09
So we have mike plus joanne is equal to 57.
01:17
But it's important to note that this is in 10 years time.
01:21
So they're both going to be 10 years older.
01:24
We're going to add time to each of them.
01:32
And now we can simply substitute.
01:37
So we have two equations, basically.
01:41
But we're just going to substitute this m equals j plus 5 value here into this m.
01:47
So we're going to replace m with j plus 5 because we know that m is equal to this...