Question

Rohan's mother is 26 years older than him the product of their ages ( in years ) 3 years from now will be 360 find Rohan's present age

Answer 1

let Rohan s mother age is X
Rohan s age =( X-26)
ATQ
after 3years
Rohans age= X+3 &Mothers age =X-26+3=X-23

(X+3)×(X-23)= 360

-23X-69+X^2+3X= 360

X^2-20X-429=0

X^2-33X+13X-429=0

X(X-33) +13(X-33)=0

(X-33)(X+13)=0

X=33

So Rohan s present age is X-26= 33-26=7
$rohan = 7$

Answer 2

Assume Rohan age be p years

Mother age = p + 26

Three year hence their ages :-

p + 3 , p + 29

Situation

(p + 3)(p + 29) = 360

p^2 + 32p + 87 - 360 = 0

p^2 + 32p - 273 = 0

p^2 + 39p + 7p - 273 = 0

p(p + 39) - 7(p + 39) = 0

(p - 7)(p + 39) = 0

p = 7

★Rohan present age = 7 year