00:00Number A is divided into two parts in direct proportion to 2 and inversely proportional to 3.
00:04The question asks for the absolute value, in terms of A, of the difference between these parts.
00:09So, what should our number A be now, guys?
00:12The length should be divided into two parts, smaller A and smaller B.
00:18Let's say A plus B.
00:20Let it be A plus B.
00:222 is correct.
00:24A divided by 2.
00:253 times B, which is inversely proportional to 3.
00:28That's not our constant for the K proportion either.
00:31The question is about the absolute value of the difference between these parts.
00:34Now let's find the equivalent of K for these, guys.
00:40A equals 2 times K.
00:42B equals K divided by 3.
00:47When we add these up and write them here, we get 2K plus K divided by 3.
00:53Doesn't that equal 7K divided by 3, guys?
00:56He will.
00:57So, what is the value of our A in terms of K, guys?
01:01If A equals 7 times K divided by 3, then our K is 3 times A divided by 7.
01:10So, the question is about the difference between these parts in absolute terms.
01:16Let's take the absolute value of A minus B.
01:20It's also equal to that.
01:212K minus K divided by 3.
01:243 times 2 is 6, right guys?
01:28Yes.
01:28What's left if we remove it all at once?
01:315K divided by 3.
01:33Now, friends, if our A is 3A divided by 7, then our K is... sorry, I apologize.
01:41If 3A divided by 7, then I say 3 divided by 3.
01:46Isn't it?
01:46Yes.
01:47And from there, friends, 5 times 3A divided by 7 times 1 divided by 3.
01:53The threes are simplified.
01:54So, the absolute value of their difference, expressed in terms of A, is 5 times A divided by 7.
02:02Our answer is Denizli.
02:05Thank you for watching.
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