1.A two-digit number has digits whose sum is 12 and whose difference is 6. What is the number?
2.A two-digit number has a tens digit that exceeds its units digit by 2. If the number equals seven times the sum of its digits, what is the units digit?
3.Find the value of x that satisfies the equation: 6x - 27 + 3x = 4 + 9 - x.
4.Find the value of x that satisfies the equation: 19(x + y) + 17 = 19(-x + y) - 21.
5.The combined price of 2 chairs and 3 tables is Rs.1300, while the total cost of 3 chairs and 2 tables is Rs.1200. By how much does the price of one table exceed the price of one chair?
6.A fraction has a denominator that is one less than twice its numerator. When both the numerator and denominator are increased by 1, the fraction equals 3/5. What is the original fraction?
7.The price of 10 kilograms of apples is the same as the price of 24 kilograms of rice. Additionally, the cost of 6 kilograms of flour is equal to the cost of 2 kilograms of rice. If the price per kilogram of flour is Rs. 20.50, what is the combined cost of purchasing 4 kilograms of apples, 3 kilograms of rice, and 5 kilograms of flour?