Question

Represent the following situation in the form of quadratic equations :
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

let rohan be x
his mother x +26.

Product of their ages after 3 years will be 360.
i.e (x+3)(x+26+3) = 360


hope it helped u :)

Answer 2

Answer:

x² +32x -273 =0 and x=7

Step-by-step explanation:

It is given that, the age of Rohan's mother is 26 years more than Rohan's age.

Let us assume that the present age of Rohan is x years.

Then Rohan's mother will have an age of (x+26) years.

Now, again it is given that, the product of their ages after 3 years will be 360 years.

Hence, we can write directly from this condition that,

(x+3){(x+26)+3}=360

⇒ (x+3)(x+29)= 360

⇒ x²+32x+87 =360

⇒ x² +32x -273 =0

So, this is the required quadratic equation. (Answer)

Now, solving this equation , we get

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

⇒ x=-39 or 7

Here, the present age of Rohan can not be negative.

Hence, the present age of Rohan is 7 years. (Answer)