Question

After 5 years, the age of the father will be 4 times the age of his son. Write a linear equation to represent this statement. find the father'sage when son is 3 years old​

Answer 1

Answer:

Let the age of the father be presently x .

After 5 years the age of the father will be x + 5 .

The age of the father after 5 years is 4 times that of the son .

This means that the age of the father's age is 4 times of the son .

Let the son's age be y .

Hence 4 (y + 5)  = ( x + 5 )

On simplifying we will get :

⇒ x + 5 = 4 y + 20

⇒ x - 4 y + 5 - 20 = 0

The required equation is  x - 4 y = 15 .

When the son's age is 3 , we will take the value of y as 3 .

x - 4(3) = 15

⇒ x - 12 = 15

⇒ x = 15 + 12

⇒ x = 27

The father's age is 27 years .

Step-by-step explanation:

A linear equation is an equation of unknown variables .

The form of a linear equation of two variables is :

a x + b y = c

The linear equation is an equation of degree 1 .

The equation of degree 2 is called quadratic equation .

Answer 2

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