2.What is the smallest base-10 integer that can be represented as AA_5 and BB_7, where A and B are valid digits in their respective bases?
A A(base 11)
[11^1 x 10] + [11^0 x 10] =120
120_5 =35 - the smallest base 10 number.
B B(base 12)
[12^1 x 11] + [12^0 x 11] =143
143_7 =80 - the smallest base 10 number.
+36916 Is that AA in base 5 and BB in base 7 ?
11 in base 5 = 6 in base 10 11 in base 7 = 8 in base 10
If you are looking for the SAME number, I think 24 in base 10 is represented by 44 in base 5 and 33 in base 7
