Question: Let’s define a number as “steady” if its digits (when read from left to right) are either strictly increasing or strictly decreasing. Let’s define a number as “stable” if each of its digits appear the same number of times. For instance, 9842 and 1467 are steady while 1001 and 7722 are stable. Let X be the smallest steady number larger than 2024. Let Y be the smallest stable number larger than 2024.
Find X+Y.
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2345 + 2112 = 4457 as a final answer.
“Math Corner” is a contest that appears in each issue of The Current and is a collaboration between NSU’s Department of Mathematics | NSU Halmos College of Arts and Sciences | NSU and NSU’s Department of Communication, Media, and the Arts | Halmos College of Arts and Sciences | NSU. Contest submissions to the Math Corner question in the Current’s latest issue can be sent to jgershma@nova.edu up until the date the next issue is published. Prizes are awarded at the end of the academic year.
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