00:00It is given as 3 times x equals 4 times y, which equals 5 times z.
00:03If 1 divided by x plus 1 divided by x equals 1 divided by z equals 1 divided by 12, then what is the value of x multiplied by?
00:08Y is asking us a question, friends.
00:10So what have we been given now?
00:113 times x equals 4 times y, which equals 5 times z.
00:15So, couldn't we write it like this, guys?
00:193 divided by 1 divided by x equals 4 divided by 1 divided by y, which equals 5 divided by 1 divided by z.
00:27Right, guys?
00:28Yes, that's equal to our proportionality constant k.
00:33This is where we're consulting.
00:35Friends, what can we write in place of 1 divided by x?
00:40We can write 3 divided by k, right?
00:43Yes.
00:47Instead of 1/y, we can write 4/k, right?
00:52Yes.
00:53What can we write in place of 1 divided by z, guys?
00:56We can write 5 divided by k.
00:58So, what is this information given here, guys?
01:011 divided by x plus 1 divided by y minus 1 divided by z equals 1 divided by 12, so when we substitute these values...
01:083 divided by k plus 4 divided by k plus minus 5 divided by k equals 1 divided by 12.
01:15Now, friends, the denominators are equal.
01:17Therefore, if we subtract 3 plus 4 from 75, we get 2.
01:192 divided by k equals 1 divided by 12.
01:21If we do the work, if it's necessary, our k comes out to 24 from here.
01:25What is being asked of us?
01:26x value.
01:27What is our x here, guys?
01:31We find our x by dividing it by k, right?
01:35Yes.
01:39Then our x is equal to 24 divided by 3, which equals 8.
01:44Translation and Subtitles by M.K.
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