Originally posted by THUDandBLUNDERyes...14112 is correct.
Let m = 10a + b
Let n = 100z + 10y + z
Then 9mn = 1000m + n
m = n / (9n - 1000) >= 10
So n = 112, m = 14 is the only solution
and the number is [b]14112
Originally posted by davegagem = n / (9n - 1000) >= 10
yes...14112 is correct.
Out of curiosity: how did you find the answer (m,n) = (14,112) and also determine it is unique? did you substitute in and try to reason out the values of a,b,x,y,z (one of your z's should be an x or something) directly?