Question

rohan 's mother is 26 years older than him . the productof their ages (in years) 3 years from now will be 360. we would like to find rohan's present age.

Answer 1

let rohan's age be x
therefore, rohan's mother's age =x+26
3 years from now, both ages will be:-
(x+3)&(x+29)
(x+3)(x+29)=360
x^2+29x+3x+87=360
x^2+32x+87-360=0
x^2+32x-273=0
(x^2+39x)(-7x-273)=0
x(x+39)-7(x+39)=0
(x-7)(x+39)=0

x=7,x=-39
here,age would be 7 years

Answer 2

let the present age of roshan be =x
let rohan's mothers present age be =x+26
3years from now
rohan age= x+3
mother age=x+26+3=x+29
A/Q
(x+3)(x+29) =360
x²+29x+3x+87=360
x²+32x=360-87
x²+32x=273
x²+32x-273=0
x²+39x-7x-273=0
x(x+39)-7(x+39)=0
(x+39)(x-7)=0
let x+39=0 and x+7=0
x=-39 and x=7
since age can not be negative
therefore rohan present age is 7years
and her mother's age is x+26=7+26
= 33years