Question 6
The six digits $1,2,3,4,5$ and $6$ are used to construct a one-digit number, a two-digit number and a three-digit number. Each must be used only once and all six digits must be used. The sum of the one-digit number and the two-digit number is $47$ and the sum of the two-digit number and the three-digit number is $358$. Find the sum of all the three numbers.