00:00A 380 cm long object (x) can be divided into three parts, each part being proportional to the numbers x plus 1 and x plus 3.
00:07The question asks us to find out the value of x if the difference between the longest and shortest segments is 60 cm.
00:14What is x divided into in proportion to the numbers x plus 1 and x plus 3?
00:22It's being torn apart.
00:23In this case, friends, if one is 'a' cm and the other is 'a' cm, then what kind of proportional relationship are we talking about?
00:32The abbreviation is written. We will take it proportionally.
00:35Can we write a divided by x equals b divided by x plus 1, which equals c divided by x plus 3?
00:43We write it. That is equal to the proportion plus k.
00:46Now, which is the longest piece and which is the shortest piece? Which one is the longest?
00:49Since c equals k times x plus 3, which is the longest segment, b equals k times x plus 1.
00:59a is equal to x times k.
01:03What's the difference between them, k times x plus 3 minus?
01:10The negative part is x times k, which equals 60 cm.
01:15So when we do this, friends, if we factor out k, we get x plus 3 minus x equals 60.
01:22The x's cancel each other out.
01:24We find our constant of proportionality by multiplying 3 by k.
01:2663, 3, only now our k is 20.
01:32So, friends, what was our total length?
01:34It was 380 cm, right?
01:36Yes, so we divided 380 into three parts: a plus b plus variety.
01:43When we add all of these together, what does it make, friends?
01:48In parentheses k, x, x, 3, 2 plus 4, equals 380.
01:58Our k was 20, 20 multiplied by 3x plus 4 equals 380.
02:05What's going on, guys?
02:071, 19, 3x plus 4, equals 19.
02:12When we perform the calculations, 3x equals 15, which gives us x as 5.
02:18Our answer is Adana.
02:20Thank you for watching.
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