(iii) Let us consider,
Age of Rohan’s = x years
Therefore, as per the given question,
Rohan’s mother’s age = x + 26
After 3 years,
Age of Rohan’s = x + 3
Age of Rohan’s mother will be = x + 26 + 3 = x + 29
The product of their ages after 3 years will be equal to 360, such that
Therefore, the age of Rohan and his mother, satisfies the quadratic equation, , which is the required representation of the problem mathematically.
(iv) Let us consider,
The speed of train = x km/h
And
Time taken to travel 480 km = 480/x km/hr
As per second condition, the speed of train = (x – 8) km/h
Also given, the train will take 3 hours to cover the same distance.
Therefore, time taken to travel 480 km
As we know,
Therefore,
Therefore, the speed of the train, satisfies the quadratic equation, , which is the required representation of the problem mathematically.