Math puzzle!

Freshgeardude

Diamond Member
Jul 31, 2006
4,506
0
76
64 times the difference of two different integers is the same as the difference of their squares. find the sum of the numbers
 

silverpig

Lifer
Jul 29, 2001
27,703
12
81
64(x-y) = x^2 - y^2

64(x-y) = (x+y)(x-y)

x+y=64 (if x =/= y)

Done.

edit: It is given in the question that the two integers are different, so I don't have to make the (x =/= y) claim.

edit 2: If you allow the numbers to be the same, then 32,32 works as well :p
 

udneekgnim

Senior member
Jun 27, 2008
247
0
0
Originally posted by: freshgeardude
64 times the difference of two different integers is the same as the difference of their squares. find the sum of the numbers

I get 64

64 (64 - 0) = 64^2 - 0^2

think a math wiz would have intuitively seen it, but I had to use algebra =(

good thing my middle school eduction sure came in handy =)
 

randay

Lifer
May 30, 2006
11,018
216
106
highschool would have been so much easier if only there was an ATOT back then...
 

chuckywang

Lifer
Jan 12, 2004
20,133
1
0
Originally posted by: freshgeardude
64 times the difference of two different integers is the same as the difference of their squares. find the sum of the numbers

64 ... and that took me 10 seconds to do in my head.
 

Injury

Lifer
Jul 19, 2004
13,066
2
81
Originally posted by: freshgeardude
thanks guys, think you could show me how you got the answer?

Think you can do your own homework before someone digs up enough information about you to email your teacher/professor/etc?
 

JDub02

Diamond Member
Sep 27, 2002
6,209
1
0
The answer is Chuck Norris ... because Chuck Norris is never wrong.