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Relativistic travel and ageing

Today’s doubt- If i am moving at constant speed of 0.5 times speed of light away from another person, it means both mine and his frame of reference are inertial (since both are not accelerated), then in my frame that person is moving away from me at 0.5 times speed of light and by special theory of relativity, he would be younger than me. But in his frame of reference I am going away and I should be younger. Actually who is getting younger and why?

Akshay Ramachandran asks

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