SOLUTION: What's a 3 digit number multipled by 3 then minus 144 gets that solution in reverse? Ex. 100x 3 = 300 - 144 = (solution) then in reverse. (2178 - 8712)

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Question 1090997: What's a 3 digit number multipled by 3 then minus 144 gets that solution in reverse?
Ex. 100x 3 = 300 - 144 = (solution) then in reverse. (2178 - 8712)

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
What's a 3 digit number multipled by 3 then minus 144 gets that solution in reverse?
That number would be 369
3(369) - 144 = 963
:
How to find this
a = the original 100's digit
b = the 10's
c = the units
3(100a+10b+c) - 144 = (100c + 10b + a)
3(100a+10b+c) = 100c + 10b + a + 144
divide both sides by 3
100a + 10b + c = %28100c+%2B+10b+%2B+a+%2B+144%29%2F3
we have to assume we are dealing with integers here that are multiples of 3
Only 3 choices, 3, 6, 9, with a little "try and see" we can confirm what order the are in.