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Age of father is seven times the age of his son. In the next 10 years, the age of father will be three times the age of his son. What is the age of father now?

Age of father is seven times the age of his son. In the next 10 years, the age of father will be three times the age of his son.
QuestionAge of father is seven times the age of his son. In the next 10 years, the age of father will be three times the age of his son. What is the age of father now?
Typemultiple_choice
Option35 yearscorrect
Option37 yearsincorrect
Option39 yearsincorrect
Option41 yearsincorrect
SolutionLet the age of son is X and age of father 7X
Age of son after 10 years = X+10
Age of father after 10 years = 7X + 10
As per question, after 10 years;
3(X+10) = 7X + 10
3X + 30 = 7X + 10
4X = 20
X = 5 years
∴Age of father now = 7 * 5 = 35 years
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