Question

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

Answer 1

the middle number can take the values of 8,27,64,125
the greatest perfect cube smaller than 200 is = 5^3 =125
we can not take 1 as a second number because numbers are in ascending order.
I think there will be 4 possible values for this number