divide 150 into three parts such that the second number is five-sixths the first and third number is four-fifths the second
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Answer:
60, 50,40
Explanation:
Here, second number (50) is five sixth the first (60) and third number (40) is four-fifths the second.
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Step-by-step explanation:
Let the 3 parts be a,b, and c
Given:First part:x
second part 5/6 of x is 5x/6
third part 4/5 0f second part=4/5×5x/6= 2x/3
sum of three parts is =150
⇒x+ 5x/6+2x/3=150
⇒6x+5x+4x=6×150
⇒15x=6×150
⇒x=6×150/15=60
three parts of 150 are respectively
First part=60
Second part=5/6×x=5/6×60=50
Third part=150−Sum of other two parts=150−(60+50)=40
∴The lengths are 60,50, and 40
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