perplexus.info :: Numbers : Maximizing the sum

Maximizing the sum (Posted on 2016-11-16)

Let me provide some facts about a couple of integers m and n:

- One of them is a 3-digit number, the other is a 2-digit number
- One of them is divisible by 11
- One has all its digits distinct
- The last digit of m^3 equals the last digit of n
- The last digit of n^3 equals the last digit of m

a. Evaluate the maximum value of m+n.
b. What possible values can m*n reach?

No Solution Yet Submitted by Ady TZIDON

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Subject	Author	Date
the program	Charlie	2016-11-16 10:22:00
part b in more concise form	Charlie	2016-11-16 10:19:56
list continued	Charlie	2016-11-16 10:15:12
e pluribus duo	Charlie	2016-11-16 10:13:46

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