A rich man wrote a will to leave 0.2 of his money to his wife and the remaining amount was to be shared by his 6 daughters and 2 sons. Each daughter received twice as much as son and each daughter received $42000, how much was the original left by the wealthy man?
Let X be the amount of money left by the wealthy man.
So the total share of the daughters is 6 * $42000 = $<<6*42000=252000>>252000
The total share of the sons is 2 * $42000 = $<<2*42000=84000>>84000
The total amount left for the daughters and sons is $252000 + $84000 = $<<252000+84000=336000>>336000
Thus 0.2 * X = $336000
So X = $336000 / 0.2 = $<<336000/0.2=1680000>>1680000
The original amount left by the wealthy man is $1680000. Answer: \boxed{1680000}.