Let N be a positive integer. The number N has three digits when expressed in base 7. When the number N is expressed in base 5, it has the same three digits, in reverse order. What is N? (Express your answer in decimal.)
A7^2 + 7B + C = C5^2 + 5B + A
49A + 7B + C = 25C + 5B + A
48A + 2B = 24C
24A + B = 12C
Let B = 0 C =4 and A = 2
A = 2 B = 0 C = 4
2047 = 4025 ???
2(7)^2 + 0 + 4 = 4(5)^2 + 0 + 2
98 + 4 = 100 + 2
102 = 102
N = 102
+1262 
