The letters A, B, C, D, E, and F represent digits and ABC,DEF represents a positive six-digit integer. What is the number ABC,DEF if 4(ABC,DEF) = 3(DEF,ABC)?
The number you are looking for is: 428,571. So that:
4 * 428,571 = 3 * 571,428
1,714,284 =1,714,284
Note:The above number is an abbreviated version of this "Special Number":
142,857 * 2 =285,714 - Same digits in different order.
142,857 * 3 =428,571 - Same digits in different order.
142,857 * 4 =571,428 - Same digits in different order.
142,857 * 5 =714,285 - Same digits in different order.
142,857 * 6 =857,142 - Same digits in different order.
142,857 * 7 =999,999 !!!
