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

Expert Answer:

Hi Isha,

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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