Tuesday

Palimage Problem

A palimage of a counting number is the number that has the same digits as the given number but in reverse order. For example, 659 and 956 are palimages; so are 1327 and 7231. Now add 354 and its palimage. Call the sum X. Add X and its palimage. Call this sum Y. Add Y and its palimage. Call this sum Z. What is the value of Z.

X = 354 + 453 = 807
Y = 807 + 708 = 1515
Z = 1515 + 5151 = 6666

Value of Z is 6666.

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