Cryptarithmetic Puzzles for 2023, Puzzle #41 ST x PAT = FEAST

Happy St. Patrick’s Day! This puzzle is interesting in that the last two digits of the product are ST which aligns with the factor ST. Typically that would be easy to do if both S and T were the same number, but the puzzle constraints prohibit that! So what could those numbers be?

This one is doable by hand.

If you want puzzles with a “luck” theme, check out Puzzles 25 to 30.

Solutions are below the image.

SPOILER SOLUTIONS!

ST_first PAT_second FEAST_third
56 326 18256
36 576 20736