# It's Back

Number Theory Level pending

This problem is the new version of my previously posted question, which received many reports because of lack of details.

If a, b, c, and d are positive integers such that

$$a^{3} = b^{2}$$

$$c^{3} = d^{2}$$

$$c - a = 5$$

Find the value of $$c + a$$.

Hint:It's not necessary to solve for b and d.

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