Question 19
Let the operation $\triangle$ be given by these examples: $$3\triangle3=2+3+4,\qquad5\triangle2=4+5,$$ $$9\triangle6=8+9+10+11+12+13.$$ If $164\triangle x=2022$, find $x$. Interpret $a\triangle b$ as the sum of $b$ consecutive integers starting at $a-1$, with $b$ a positive integer, as intended by the source.
Answer format: enter one whole number without units; leading zeros are optional. The source answer sheet uses four digits (for example, 7 is shaded as 0007).
Answer format: enter one whole number without units; leading zeros are optional. The source answer sheet uses four digits (for example, 7 is shaded as 0007).