SOLUTION: There are two numbers four times as far from 5 as they are from 80. Find the two numbers. Thanks

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Question 1052837: There are two numbers four times as far from 5 as they are from 80. Find the two numbers.
Thanks
Answer by ikleyn(52914) About Me  (Show Source):
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There are two numbers four times as far from 5 as they are from 80. Find the two numbers.
Thanks
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|x-5| = 4*|x-80|.

This equation deploys in two independent equations: 
     a)  x-5 = 4(x-80)  --->  x-5 = 4x-320  --->  3x = 315  --->  x = 105

and 

     b)  x-5 = -4(x-80)  --->  x-5 = -4x+320  --->  5x = 325  --->  x = 65.


Answer.  The two numbers are 65 and 105.