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avatar+34 

What is the greatest possible sum of two consecutive integers whose product is less than 400?

 Mar 27, 2020
 #1
avatar+111330 
+1

 

 

We could  do some math here....but  note that   (20) (20)  = 400    and   (-20)(-20)  = 400

 

This  must   imply  that

 

(19)(20)  < 400    and

 

(-20) (-19)  < 400

 

So  the  sum  is either  39  or  -39

 

39  is the one we need

 

 

cool cool cool

 Mar 27, 2020
edited by CPhill  Mar 27, 2020
edited by CPhill  Mar 27, 2020
 #2
avatar+337 
+1

39 because the square of 400 is 20, so we have to be consecutive, so 20+19=39

 Mar 27, 2020
 #3
avatar+1970 
0

Nice, both of you!

 Mar 27, 2020

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