Question

Raju mother is 25 years older than him the product of their ages after 3 years will be 360 years we need to find the Raju's present age​

Answer 1

Step-by-step explanation:

Let Raju's age be x

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

Now Raju 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 Raju= 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

Answer 2

Answer:

Let Rohan's present age=x

Then,

Rohan's mother present age=x+26

After 3 years

Rohan's present age=x+3

Rohan's mother age=x+26+3=x+29

As per given condition

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

x^2+29x+3x+87=360

x^2+32x-273=0

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

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

X=-39,7

negative value not possible

so, Rohan's present age is 7 years