SOLUTION: twenty four is divided into two parts such that 7 times the first part added to 5 times the second part makes 146. Find each part.

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Question 298701: twenty four is divided into two parts such that 7 times the first part added to 5 times the second part makes 146. Find each part.
Answer by mananth(16946) About Me  (Show Source):
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twenty four is divided into two parts such that 7 times the first part added to 5 times the second part makes 146. Find each part.
let one part be x.----------- 7 times the first part = 7x
the other part will be 24-x.---- 5 times the secon part = 5 ( 24-x)
7x+5(24-x)=146
7x+120-5x=146
2x=146-120
2x=26
x=13
other part is 11