Ahmad and his younger brother studied at the same school. One morning, they walked from home to their school at the same time. The speed of Ahmad and his younger brother was $$80$$ meters per minutes and $$50$$ meters per minutes respectively. When Ahmad reached school, he realized that he forgot to bring his pencil box and he returned home immediately. Ahmad met his younger brother at a distance of $$210$$ meters from school. Find the distance between the school and their home. 
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