You can
put this solution on YOUR website!
If we take the sum of the 6 largest nuumbers
in the field,
44+45+46+47+48+49 = 279
That's 4 too large, so we must subtract
4 from both sides of that equation to
have a sum of 275. But all 6 must be
different.
So we can do any of these:
1. subtract 1 each from the smallest 4
numbers:
44+45+46+47+48+49 = 279
-1 -1 -1 -1 -4
-----------------------
43+44+45+46+48+49 = 275
2. subtract 2 each from the smallest two
numbers:
44+45+46+47+48+49 = 279
-2 -2 -4
-----------------------
42+43+46+47+48+49 = 275
3. subtract 2 from the smallest number,
and 1 each from the next smallest two:
44+45+46+47+48+49 = 279
-2 -1 -1 -4
-----------------------
42+44+45+47+48+49 = 275
4. subtract 3 from the smallest number,
and 1 from the next smallest number:
44+45+46+47+48+49 = 279
-3 -1 -4
-----------------------
41+44+46+47+48+49 = 275
5. subtract 4 from the smallest number:
44+45+46+47+48+49 = 279
-4 -4
-----------------------
40+45+46+47+48+49 = 275
That's 5 combinations.
Edwin