264 This 2x3 grid has an interesting
200 property: 264x200 = 22x60x40.
Build a similar grid using all digits from 2 to 7.
10000ad+100ag+1000bd+100bf+10bg+100cd+10cf+cg=
1000abc+100abg+100acf+10afg+100bcd+10bdg+10cd f+dfg.
Then 1000a(10d-bc)+100b(10d+f)-10cf(10a+d-1)-100cd(b-1)=
10bg(10a+d-1)+fg(10a+d)-g(100a+c).
Throw away everything on LHS and RHS except dfg-cg=10. Given the stipulation of the problem, {c,d,f,g}={4,2,3,5}{4,3,2,5}{6,2,4,5}{6,4,2,5}{7,3,4,2}{7,4,3,2}
|
|
Posted by broll
on 2012-01-25 03:05:51 |
possible approach
