Question 160
For a five-digit number $n = abcde$ we define the twisted sum of $n$ as the value
$$bcdea + cdeab + deabc + eabcd.$$
For example, the twisted sum of $20253$ is
$$05232 + 25320 + 53202 + 32025 = 113079.$$
Let $m$ and $n$ be two five-digit numbers with the same twisted sum. Prove that $m = n$.
$$bcdea + cdeab + deabc + eabcd.$$
For example, the twisted sum of $20253$ is
$$05232 + 25320 + 53202 + 32025 = 113079.$$
Let $m$ and $n$ be two five-digit numbers with the same twisted sum. Prove that $m = n$.