Please answer the question correctly:- Anthony is now half of his father's age. Twenty years ago the age of father was six times of Bishops age. Find the age of father and son.
Answers
Answer:
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Answer:
The ages of Anthony and his father are 25 years and 50 years respectively.
Step-by-step-explanation:
Let the age of Anthony's father be x years.
∴ The age of Anthony = ( x / 2 ) years
Now,
Age of Anthony 20 years ago = ( x / 2 ) - 20
⇒ Age of Anthony 20 years ago = ( x - 40 ) / 2 years
And,
Age of Anthony's father 20 years ago = ( x - 20 ) years
From the given condition,
Age of Anthony's father 20 years ago was 6 times that of Anthony's age.
∴ ( x - 20 ) = 6 [ ( x - 40 ) / 2 ]
⇒ x - 20 = 3 ( x - 40 )
⇒ x - 20 = 3x - 120
⇒ - 20 + 120 = 3x - x
⇒ 2x = 100
⇒ x = 100 ÷ 2
⇒ x = 50
Anthony's father's age = 50 years
Now,
Anthony's age = ( x / 2 ) years
⇒ Anthony's age = ( 50 / 2 )
⇒ Anthony's age = 25 years
∴ The ages of Anthony and his father are 25 years and 50 years respectively.