In order to find the lowest value for X we first need to find the lowest possible value for a and b.
Let us start off with a:
If a is the lowest possible cube number we can start by checking the first couple of cube numbers and we get:
- 1^3 = 1
Hence, the lowest possible two digit cube number we can get is 27, so a=27. Now let us check for b, what is the lowest possible two digit square number:
- 1^2 = 1
Hence, the lowest possible square number we can get is 16, so b=16.
Now the math is easy, we just plug our values for a and b into the equation to find the answer:
X = 427 + 316 = 108 + 48 = 156
So the answer is 16.