a) Roban's mother is 26 years older than him. The prodact of their age

1.	a) Roban's mother is 26 years older than him. The prodact of their ages (in years3 years from now will be 160. We would like to find Rohan's present age.
Answer» Let the age of Rohan be “ x ”Then Age of Rohan's mother = x+26 After three years their ages are (x+3),(x+29) respectively . According to the question ; ( x +3) (x+29) =360 x²+(3+29)x+87=360 x²+32x-273=0 x²+39x-7x-273=0 x(x+39)-7(x+39)=0 (x+39)(x-7)=0 x = 7 or -39 As Age can never be negative we have x =7. Therefore ,Present age of Rohan =7 years.

a) Roban's mother is 26 years older than him. The prodact of their ages (in years3 years from now will be 160. We would like to find Rohan's present age.

Answer»

Let the age of Rohan be “ x ”Then Age of Rohan's mother = x+26

After three years their ages are (x+3),(x+29) respectively .

According to the question ;

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

x²+(3+29)x+87=360

x²+32x-273=0

x²+39x-7x-273=0

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

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

x = 7 or -39

As Age can never be negative we have x =7.

Therefore ,Present age of Rohan =7 years.