Question

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20 POINTS

Answer 1

Answer:

Father's age- 48

daughter's age- 19

son's age- 16

Explanation:

Given :–

Age of Daughter is 3 more than Son .

Age of Father is three times of the Son .

Sum of the age of Father and the Daughter is 67 .

To Find :–

The ages of Father , Daughter and Son .

Solution :–

Let the age of Daughter , Son and Father be x , y and z Respectively .

According to the First Condition :-

⇒ x = y + 3 -------------(1)

According to the Second Condition :-

⇒ z = 3y -----------(2)

According to the Third Condition :-

⇒ x + z = 67 ------------(3)

Putting z from Equation(2) in Equation(3) :-

⇒ x + 3y = 67

⇒ x = 67 - 3y ------------(4)

Substituting the value of x from Equation(1) and Equation(4) :-

⇒ 67 - 3y = y + 3

⇒ 3y + y = 67 - 3

⇒ 4y = 64

⇒ y = 64/4

⇒ y = 16 years

Putting the value of 'y' in Equation(4) :-

⇒ x = 67 - 3(16)

⇒ x = 67 - 48

⇒ x = 19 years

Putting the value of 'y' in Equation(2) :-

⇒ z = 3(16)

⇒ z = 48 years

∴ The age of Daughter , Son and Father are 19 , 16 and 48 Years Respectively .

Answer 2

Answer:

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