00:00A father reportedly gives his three children, aged 8, 9, and 12, pocket money proportional to the square of their ages.
00:06The question asks, "If the eldest child's allowance is 4 lira more than the youngest child's allowance, find the middle child's allowance."
00:15So, what are the friends like now?
00:17The father's age will be directly proportional to the square of the children's ages, right friends?
00:23Proportional abbreviation.
00:24Okay friends, if I were to call the amounts children receive as allowance A, B, and C, where A is the square of 8 and B is the square of 9...
00:35And isn't C proportional to the square of 12?
00:39Yes.
00:39So what does he say about me?
00:41The eldest child's allowance, the eldest child's allowance, friends, when we go to higher numbers, you take the square or squares of this, which one is the eldest?
00:48You will find that it is.
00:49Or what would have happened if you had been given different numbers or different data, if you hadn't been able to find them?
00:55When you look at it, if the tops are the same but the bases are greater than one, whichever one is larger is considered positive, right guys?
01:02Yes.
01:02It's going to be big.
01:04So here, C is the oldest, meaning the oldest child's allowance is C.
01:08So what is C?
01:10They'll charge 4 lira more than the smallest size, A, right guys?
01:15Our middle child is B.
01:16We'll find the money for this.
01:17Okay guys, now when I move A to this side, C minus A equals 4, right?
01:22Yes.
01:23So how do I get this C minus A?
01:27If I multiply this by minus 1.
01:30If I multiply this by minus 1 as well...
01:32Right, guys?
01:33Yes.
01:35And also C minus A.
01:40Let's gather the Shuraki and friends, let's get this place together.
01:44in comparison
01:45Wouldn't it still be equal to B divided by 9 squared?
01:48It is possible.
01:48What is C minus A divided by...?
01:5112 squared minus 8 squared.
01:54It's also equal to that.
01:55I'm writing B divided by 81 here.
01:58We are given C minus A, which is 4.
02:0112 squared minus 8 squared.
02:02What's the difference in the first frame, guys?
02:0480.
02:05Subtract 64 from 144.
02:06Also the 80th.
02:12It's also equal to that.
02:13What's up, guys?
02:14It's equal to B divided by 81.
02:17Now, friends, I'm making a transaction from here.
02:184 divided by 1 and 80 equals 20, right guys?
02:22How many do we find from here?
02:23We find our B by dividing 81 by 20, which is 4.05 TL.
02:34Our answer is that the middle child received 4.05 TL.
02:36We say this will happen.
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