A piece of cloth cost ₹300. If the piece was 5 metre longer and each metre of cloth cost ₹2 less, the cost of the piece would have remained unchanged. How long is the original piece of cloth and what is the rate per metre?

The hotel bill for a number of people for overnight stay is ₹4800 . If there were 4 more the bill each person had to pay would have reduced by ₹200. Find the number of people staying overnight.

The sum of the ages of Vivek and his youger brother Amit is 47 years. The product of their ages in years is 550. Find their ages.

Paul is x years old and his father's age is twice the square of Paul's age. Ten years hence, father's age will be four times Paul's age. Find their present ages.