SOLUTION: a positive integer is 26 more than 4 times another. Their product is 464. what are the two integers?

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Question 1153403: a positive integer is 26 more than 4 times another. Their product is 464. what are the two integers?
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!


m = 26 + 4n

mn = 464



These combine to:

464/n = 26 + 4n   



This can be re-arranged to:

+4n%5E2+%2B+26n+-+484+=+0+



Then factored to:

+%284n%2B58%29%28n-8%29+=+0+



n = 8    and/or  +cross%28n+=+-58%2F4%29+  



Discard negative (and non-integral) solution:



highlight%28n+=+8%29  and  +highlight%28m+=+58%29+



Check: 

    8*58 = 464  (ok)

and 

    26+4*8 = 26+32 = 58  (ok)