SOLUTION: There is a 3 digit number with each digit a different number. The sum of the digits is a perfect square. The sum of the first digit and the number made by the second and third digi

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Question 486564: There is a 3 digit number with each digit a different number. The sum of the digits is a perfect square. The sum of the first digit and the number made by the second and third digit is a perfect square.The product of the first digit and the number made by the second and third digit is a perfect square. What is the three digit number
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
No one seems to want to solve this problem and I haven't had much luck either but I wrote a basic problem to solve it
:
Run this Basic program
:
2 print " A program to find a 3 digit number where: Sum of the 3 digit is a perfect square"
4 print " The sum of the 1st digit & the number formed by the other two digits is a perfect square"
6 print " And the 1st digit times the number formed by the other digits is a perfect square also"
8 print: print
10 For a = 1 to 9
20 For b = 1 to 9
30 For c = 1 to 9
40 s = a+b+c
60 If SQR(s) = INT(SQR(s)) then 500
70 next c
80 next b
90 next a
95 end
100 print " ";a; b; c;" Is the number":end
500 u = a+(10*b)+c
510 if SQR(u) = INT(SQR(u)) then 600
520 goto 70
600 v = a*((10*b)+c)
610 if SQR(v) = INT(SQR(v)) then 100
629 goto 70
:
The results: 916 is the 3 digit number