====== Answer ===== Sandy has $384615 and Sue has $538461 Let //X// and //Y// be Sandy's and Sue's money. Let //Z// be the number of dollars Sandy's statement. \\ //X+Z = Y-Z// and //2(X-Z) = Y+Z// \\ //X = 5Z// \\ //Y = 7Z// \\ \\ Let A be the first digit in Sue's wealth, B be the remaining digits, and n be the number of digits \\ //Y = 10(n-1)A+B// \\ //X = 10B + A// \\ //7X = 5Y// \\ //7(10B+A) = 5(10(n-1)A+B)// \\ //(5*10(n-1)-7)A=65B// \\ Since 65B is divisible by 5 and 5*10(n-1)-7 is not, A must equal 5 \\ //5*10(n-1)-7 = 13B// \\ \\ The least value of n such that 5*10^(n-1)-7 is a multiple of 13 is 6: \\ //499993=38461*13// \\ The next is 12, which makes them have more than 1 million dollars. Hence n=6, B=38461 \\