Question

what is the age of father and his son if the sum of the age of a father and his son in years is 85 and thrice the difference of their ages in years is 75​

Answer 1

Answer:

Step-by-step explanation:

Let sum of the ages be 85

Difference of the ages = 75

Let ‘x’ Be the age of the father And

‘y’ be the age of the son

Sum = x+y=85

=> y= 85-x——(1)

Difference = 3(x-y) = 75

=> 3x-3y = 75—(2)

Sub ‘y’ in (2)

=> 3x-3(85-x)= 75

=> 3x-255+3x= 75

=> 6x-225= 75

=> 6x = 330

=> x = 55

Age of father= 55 years

Age of son = 55+y= 85

=> y = 85-55= 30 years

Answer 2

Step-by-step explanation:

given :

• age of a father and his son in years = 85

• difference of their ages in years = 75

to find :

• what is the age of father and his son = ?

• what is the age of father and his son = ?

solution :

• father and son sum is = x+y = 85

• father and son difference is = 3 (x-y ) = 75

first we will do value of y :

• years = 3x-3(85-x) = 75

• years = 3x-255+3x= 75

• years = 6x-225= 75

• years = 330

• years = 55

then we find thier age :

• father age = 55 y

• son age = 55+ years = 85

• father and son years = 85-55= 30

hence,

father and son age is = 30 y