The cube of a 2-digit integer, is equal to a 5-digit integer, .
If are all distinct single digit integers, submit your answer as the 2-digit integer .
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From the equation provided we have:
B R × 1 0 0 0 + 1 0 0 0 > B R 3 ≥ B R × 1 0 0 0 .
Since 1 0 ≤ B R ≤ 1 0 0 , dividing by B R , we get
1 0 0 0 + 1 0 0 ≥ 1 0 0 0 + B R 1 0 0 0 > B R 2 ≥ 1 0 0 0 .
Hence, 3 4 > B R > 3 1 . We now check the cases
Hence, B R = 3 2 .