SOLUTION: which number between 50 and 60 can be divided into four parts so that if you multiply the first part by 2,add 2 to the second part ,subtract 2 from the third part and divide the fo

Question 714770: which number between 50 and 60 can be divided into four parts so that if you multiply the first part by 2,add 2 to the second part ,subtract 2 from the third part and divide the fourth part by 2,the result will be the same.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
It is not clearly specified, but I am sure that the number and its four parts are understood to be integers.
The person who proposed the problem understands it that way, and we have to understand it too.

= first part
= second part
= third part
= fourth part

= first part multiplied by 2
= 2 added to the second part
= 2 subtracted from the third part
= fourth part divided by 2

We can express all four parts as a function of :
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The sum of all four parts is , an integer such that

So is a multiple of 9,
and the only one between 50 and 60 is .
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