Sunday Times Teaser 2997 – Cemetery Lottery Symmetry
by Stephen Hogg
Published Sunday March 01 2020 (link)
Our local cemetery conservation lottery tickets have four numbers for a line. Using eight different numbers, my two lines have several symmetries. For each line: just one number is odd; there is one number from each of the ranges 1-9, 10-19, 20-29 and 30-39, in that order; the sum of the four numbers equals that sum for the other line; excluding 1 and the numbers themselves, the 1st and 2nd numbers share just one factor — as do the 2nd and 3rd (a different factor) and the 3rd and 4th (another different factor) and, finally, the 4th and 1st.
Printed one line directly above the other, my top line includes the largest of the eight numbers.
What is the bottom line?