The sum of any three distinct natural numbers arranged in ascending order is 200 such that the second number is a perfect cube. how many possible values are there for this number?
Asked by Isha Yadav | 20th Apr, 2015, 06:14: PM
The middle number can take the values of 8, 27,64, or 125, although 1 is also a perfect cube, it can not be the second number since the numbers are arranged in the ascending order.
The greatest perfect cube smaller than 200 is cube of 5 = 125, the cube of 6 = 216 and
216 is greater than 200.
Hence, there are 4 possible values for the middle number.
Answered by | 20th Apr, 2015, 06:38: PM
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