Question

. Rohan's mother is 26 years older than him. The product of their ages after 3 years will
be 360 years. We need to find Rohan's present age.​

Answer 1

$\huge\sf\red{Answer}$

Let Rohan's age be x

Therefore Rohan's mom's age is x+26

Now Roahn age after 3 yrs x+3 and his mothers age after three years x+29

Now we know (x+3)(x+29) = 360

x²+3x+29x+87 = 360

x²+32x+87=360

x²+32x=360-87

= 273 x(x+32)=273

After solving we get x=7 So, age of Rohan = 7 yrs

The solution for how to get x is Take one factor of the equation x²+32x-273 = 0 First factorise

Factors are x-7 and x+32 .

So take any one factor and solve it and you will get two solutions of the quadratic equation

X-7.

x=7 And x+32

x=-32 Now put your logic age can't be in minus so x=7 is correct solution for this