Sunday Times Teaser 2726 – Christmas Star

by David Buontempo

I wanted to place the digits 1 to 10 on the points of a Christmas where its five lines cross or join in such a way that the sums of the four digits on each of its lines were the same. I couldn’t do this so I used the digits 1 to 9 instead with one digit used twice. One line in the result did not include the repeated digit.

What were the four numbers on this line?