Two lines x + y = 8 and 3x + y = 14 meet at the point:

The sum of the numerator and the denominator of a fraction is 11. If 1 is added to the numerator and 2 is subtracted from the denominator, it becomes $\frac{2}{3}$. The fraction is:

Rita purchased 9 pens and 7 pencils for ₹ 66. Megha also bought 5 pens and 11 pencils of the same kind for ₹ 58. What is the cost of 3 pencils?

A railway half-ticket costs half the full ticket. However the reservation charge for all the tickets is constant. One full reserved ticket for a journey is Rs.525. If the cost of one full and one half reserved ticket for the same journey is Rs.850, then what is the reservation charge per ticket?

The difference between two numbers is 24. If one number is 2 times the second. Then the two numbers will be:

Which of the following pairs of linear equations is/are inconsistent?

A. $x - y = 8; 3x - 3y = 16$

B. $3x + 2y = 5; 2x - 3y = 7.$

C. $2x - 2y - 2 = 0; 4x - 4y - 5 = 0.$

D. $2x - 3y = 8; 4x - 6y - 5 = 9$

One says, "Give me a hundred rupees, friend! I shall then become twice as rich as you." The other replies, "If you give me ten rupees, I shall be six times as rich as you." What is the amount of their (respective) capital?