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The product of two positive integers plus their sum is 95.  The integers are not relatively prime, and each is less than 20.  What is the sum of the two integers

 Jan 3, 2021
 #1
avatar+86 
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(7 x 11) + (7 + 11) = 95

7 + 11 = 18

 Jan 4, 2021
 #2
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 "The integers are not relatively prime, and each is less than 20".

 

[15  x  5]  +  [15 + 5] ==95

 

[15  +  5] ==20

 Jan 4, 2021
 #3
avatar+117458 
+1

ab + a + b  =  95

 

ab +  a  =  95 - b

 

a ( b + 1)  = 95 -  b

 

a  =   (95 - b) / ( b + 1)

 

When   b = 7  a =  11    relatively prime

 

When  b = 15   a  =  5     not relatively prime

 

a +  b =   20

 

 

cool cool cool

 Jan 4, 2021

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