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Find the sum (Posted on 2016-02-29) Difficulty: 2 of 5
The difference between two positive integers is 56.
If their squares have both the same units digit and the same tens digit, find the sum of the two positive integers.

1. Find the minimal couple, complying with the above, and the corresponding sum.
2. Define formulas for additional solutions (both numbers and their sums).

  Submitted by Ady TZIDON    
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Solution: (Hide)
For any positive k:
a=22+25(k-1)
b=78+25(k-1)
S= 100+50(k-1)

The minimal answer:
a=22
b=78
S= 100

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionarmando2016-02-29 16:51:16
SolutionSolutionbroll2016-02-29 08:25:26
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