8.3

Part of VI Soros Olympiad 1999 - 2000 (Russia)

Problems(1)

n+72, has same digts reversely with n (VI Soros Olympiad 1990-00 R1 8.3)

Source:

72

was added to the natural number

n

and in the sum we got a number written in the same digits as the number

n

, but in the reverse order. Find all numbers

n

that satisfy the given condition.

number theoryDigits