Rohan's mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan's present age. [ncert 10th]

Let the present age of Rohan= x years

Then present age of Rohan's mother =x+26 years.

After 3 years, age of Rohan = x+3 years.

After 3 years, Rohan's mother age = x+26+3 = x+29 years.

Now according to the given condition, 

(x+3)(x+29)=360

 => x²+32x+87=360

=> x²+32x+87-360=0

=> x²+32x-273=0

=> x²-7x+39x-273=0

=> (x²-7x)+(39x-273)=0

=> x(x-7)+39(x-7)=0

=> (x-7)(x+39)=0

=> x=7 or x= -39

Ignore x= -39 [∵ age cannot be negative]

=> Present age of Rohan = x = 7 years.