Using each of the digits 2, 3, 4 and 5 only ONCE, plus one "+" sign, and one "=" sign, can you write a correct equation?
In addition to the almost obvious where the number 2 is superscripted as an exponent (3^{2 }= 3*3 = 9):
4 + 5 = 3^{2}5 + 4 = 3^{2}3^{2 }= 4 + 5
3^{2 }= 5 + 4
there are additional solutions, such as where the number 4 is subscripted as a radix with the other two numbers defaulting to base 10 (2_{4} = 2_{10} = 2) & (3_{4} = 3_{10} = 3) [which is the usual default for a number with no given radix]:
2 + 3_{4} = 5
2_{4} + 3 = 5
3 + 2_{4} = 5
3_{4} + 2 = 5
5 = 2 + 3_{4}
5 = 2_{4} + 3
5 = 3 + 2_{4}
5 = 3_{4} + 2

Posted by Dej Mar
on 20080120 03:15:47 