The Paradox of twins

Two twins are separated. One of them stays on earth and the other one travels by a chip at a high velocity.
For relativity, the clock of the ship is slower than the clock of the earth. Thus, the twin on the earth gets older faster than that one in the ship. But, for twin in the ship, he is standing still and the earth deviates from him. If he considers the relativity he will be getting older faster than his brother on earth. The impasse was created, a paradox. Who get older faster?

As science always finds a solution to justify its mistakes, she affirms that the twin in the ship suffers acceleration.
Logical Deductions have been affirming and proving that there is no time dilatation, in other words, both twins get older in the same time. Let´s explain it. Think about it: An observer on earth and another on moon. Let’s consider that they are twins. In this case, the observer on earth sees the moon at a constant velocity around it without acceleration. On the other hand, the observer on moon sees the same thing happening on earth. According to relativity, the observer on earth thinks he is standing still getting older a little faster than another on moon. This same evidence is used for observer on earth affirming that time on earth is the one that would pass slower! The paradox appears again: “By the way, who gets older slower or faster? Is it the observer on moon or on earth?”.

Unfortunately, we can use the excuse that neither the observer on earth nor on moon accelerates because that one is always orbiting at a constant velocity around this one. Therefore, we must conclude that it must be the same in both referential eliminating the paradox of twins.