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A school is organizing a grand cultural event to show the talent of its students. To accommodate the guests, the school plans to rent chairs and tables from a local supplier. It finds that rent for each chair is ₹ 50 and for each table is ₹ 200. The school spends ₹ 30,000 for renting the chairs and tables. Also, the total number of items (chairs and tables) rented are 300. If the school rents 'x' chairs and 'y' tables, answer the following questions :
x and y are complementary angles such that x : y = 1 : 2. Express the given information as a system of linear equations in two variables and hence solve it.
A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to the denominator. The fraction is:
Solve the following pair of equations: s + t = 15, 2s – 3t = 5
A number consists of two digits. The digit at the tens place is 3 more than the unit's digit. The sum of the digits is 9. Find the number.
Three years hence, a father's age will be three times that of his son. Five years ago, the father was seven times the son's age. Find their present ages.
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