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
Answers
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 .
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