Answer: Age of Adam, Ben and Caleb are 15 years, 21 years,and 33 years respectively.
Explanation:
Since we have given that
Ratio of ages of Adam, Ben, and Caleb is given by

so, let the age of Adam be 5x
Let the age of Ben be 7x
Let the age of Caleb be 11x
After one year, their age will be
Adam's age = 5x+1
Ben's age = 7x+1
According to question, it becomes,

So, Their age will be
Adam's age is given by

Ben's age is given by

Caleb's age is given by

Hence, Age of Adam, Ben and Caleb are 15 years, 21 years,and 33 years respectively.