# Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

+1 vote
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Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?
posted Dec 9, 2014

123
5*5*5-2=123
11*11+2=123

Ans: 123
123= square of 11 + 2
123= cube of 5 - 3

123 (2 less a 125 - cube, 2 more than 121 -square)

answer Dec 10, 2014 by anonymous

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