A survey of around 150 residents from 11 projects that provide accommodation to homeless young people under the age of 25 also revealed that 20 per cent had run away before they reached 11 years old.
Shelter Scotland is now calling for a greater focus on early intervention to address the causes of children running away.
Graeme Brown, director of Shelter Scotland, said: "These figures show that the children who run away from home today are much more likely to become the young homeless people of tomorrow.
"By continuing to fail those children who feel their only option is to run away, we are guilty of creating a society where lost life opportunities and squandered potential thrive."
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