Rohan’s mother is 26 years older than him. The product of their ages 3 years from now will be 360. Formulate the quadratic equation to find their ages.

Represent the following situations in the form of quadratic equations : (i) The area of a rectangular plot is 528 m^2 . The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot. (ii) The product of two consecutive positive integers is 306. We need to find the integers. (iii) Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age. (iv) A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.

Rahim’s father is three times as old as Rahim. If sum of their ages is 56 years, find their ages.

The sum of ages of a boy and his brother is 25 years, and the product of their ages in years is 126. Find their ages.

A girl is twice as old as her sister. Four years hence, the product of their ages (in years) will be 160. Find their present ages.

Ritu is 5 years older than Suman. If Suman's age is x years, what will be Ritu's age after 6 years?

Sachin's father's age is 3 years more than three times Sachin's age. Sachin's father is 51 years old. Set up an equation to find Sachin's age.

The sum of the ages of a man and his son is 45 years. Five years ago, the product of their ages was four times the man’s age at the time. Find their present ages.

The present age of a woman is 3 years more than three times the age of her daughter. Three years hence, the woman's age will be 10 years, more than twice the age of her daughter. Find their present ages.

The present age of a father is three years more than three times the age of the son. Three years hence father’s age will be 10 years more than twice the age of the son. Determine their present ages.

The present age of a father is three years more than three times the age of the son. Three years hence father’s age will be 10 years more than twice the age of the son. Determine their present ages.