Question

mukesh father is 26 year older than him the product of their ages 3 year from now will 360. find their present ages

Answer 1

Let the age of Mukesh be x years
Therefore Mukesh's father's age = x +26 years
After 3 years
Age of Mukesh = x + 3 years
Age of Mukesh father = (x + 26) +3
=x + 29 years
According to the question
(x +3) X ( x+ 29) = 360
Or x^2 + 29x + 3x + 87 = 360
Or x^2 + 32x + 87 - 360 = 0
Or x^2 + 32x - 273 = 0
Or x^2 + 39x - 7x- 273 =0
Or. x(x +39) - 7(x +39)=0
Or (x-7)(x+39)=0
Or x=7 Or x =-39
Since age cannot be negative
Age of Mukesh = 7 years
Age of Father = (7+26)=33 years
I hope this helps