<PRE><B>Question 631245</B>
n, n+1

n^2 + (n+1)^2 = 10(n + n + 1) - 9

n^2 + n^2 + 2n + 1 = 10(2n + 1) - 9

2n^2 + 2n + 1 = 20n + 10 - 9

2n^2 - 18n + 1 = 1

2n^2 - 18n = 0

2n(n - 9) = 0

n = 0, 9

answers:  0, 1   and 9, 10

CHECK:

0^2 + 1^2 = 10(0+1) - 9
1 = 1

9^2 + 10^2 = 10(9 + 10) - 9

81 + 100 = 10(19) - 9

181 = 181</PRE>