Question

the sum of the present age of a boy and his father is 70 years. 5years later the product of their age will be 1200 years. Find their present ages​

Answer 1

Answer:

15 years is son's age

55 years is father's age

Step-by-step explanation:

let son's age be x

let father's age be y

x + y = 70

(x+5)(y+5) = 1200

xy + 5x + 5y + 25 = 1200

5x + 5y + xy =  1175

xy = 1175 - 350 = 825 [ x + y = 7 so 5x + 5y = 350]

x(70-x) = 825 [x+y = 70 so y = 70 - x]

70x -x^2 = 825

x^2 -70x + 825 = 0

solving the equation

we get x = 15

so y = 70 - 15 = 55