Valmiki Ramayana Ayodhya Kanda Sarga 110 Shloka 34
Original Shlokaतस्य ज्येष्ठोऽसि दायादो राम इत्यभिविश्रुतः। तद्गृहाण स्वकं राज्यमवेक्षस्व जनं नृप।।2.110.34।।
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राम इति as Rama, अभिविश्रुतः known far and wide, तस्य that king's, दायादः an heir, ज्येष्ठः असि are the eldest son, नृपः O king, तत् for that reason, स्वकम् is your own, राज्यम् kingdom, गृहाण accept, जनम् the people, अवेक्षस्व look after.
Being the eldest son of king Dasaratha and widely known as Rama you happen to be the heir apparent. Hence, O king, accept the kingdom and look after the people.