Ok, so some of you know I haven't had much luck with chicks. So I thought I would run my latest pickup line past you - what do ya think:
- Excuse me, I'm sorry but I can't help but notice how much you look like my first wife, may I ask you your name.
Chick: ("How many times have you been married?)
- Never!
Do you think that could be too subtle for those North of the Mason-Dixon Line?
Mark:
SQUARES
62, 77, 122, 98
Each solution must have 1 digit changed from the previous solution on each side of the equation. As a basic example:
1 + 2 + 3 = 4 + 5 + 6
Could be changed to 1 + 2 + 4 = 7 + 5 + 6
Of course the equations are not equal, but it illustrates the point on changing 1 digit on each side.
You could write a script to produce only unique answers. For example:
a,b,c = 1,4,9
d,e,f = 3,5,8
This arrangement of numbers can be written many ways; to just show one of the ways.
The output is the following:
149358
156237
168249
238456
267348
378459
These are the only possible sets of 6 digits you can use. You can of course rearrange the first 3 digits and the last 3 digits in any way you want, and also swap over the first 3 digits with the last 3 digits. At the end of it though, the sum will always be the same no matter which way round you put them.
Then just use trial and error to get the answer which is the following:
1st solution: 2,3,7 = 1,5,6 Sum = 62
2nd solution: 2,3,8 = 4,5,6 Sum = 77
3rd solution: 7,3,8 = 4,5,9 Sum = 122
4th solution: 5,3,8 = 4,1,9 Sum = 98
This satisfies the requirements of the question in that the fourth answer is a larger sum than the first, all 4 solutions are different and each one has replaced just one digit on each side of the equation to get to the next solution.
A rebellious Southern belle named Miss mi enquires,
"So what way would be the wrong way to take that?"
"Quite frankly, my dear, I don't give a damn."
"The south will rise again." :wink:
Signed; Rhett
ENOG+DINW=
WILLWOWDS