I'm sorry, N=a+b^2
Let N = 10a + b
but N = a + b^2
so b^2 + a - 10a + b
b^2 - b - 9a = 0
b(b-1) = 9a
which tell me that the product of 2 consecutive numbers, which are less than 10, must be a multiple of 9
9x8 = 72 yes
8x7 = 56 no
7x6 = 42 no
6x5 = 30 no
5x4 = 20 no
4x3 = 12 no
3x2 = 6 no
2x1 = 2 no
so 9a = 72
a = 8
then b^ - b - 72 = 0
(b-9)(b+8) = 0
b = 9
N = a + b^2 = 8 + 81 = 89
M = 98
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