Final answer:
To solve the problem, we denote Rs. 10 notes by x and Rs. 50 notes by y, formulate the equation 10x + 50y = 250, and solve for x and y while ensuring y > x. The correct denomination is 3 notes of Rs. 50 and 2 notes of Rs. 10.
Step-by-step explanation:
The student is requiring help with a problem involving counting and denomination of currency, specifically wanting to find out how many notes of Rs. 10 and Rs. 50 they have if the total amount is Rs. 250, with the condition that there are more Rs. 50 notes than Rs. 10 notes.
Let's denote the number of Rs. 10 notes by x and the number of Rs. 50 notes by y. The total value of the notes can be expressed by the equation 10x + 50y = 250. Additionally, there are more Rs. 50 notes, so we have y > x. The solution to the problem involves solving this system of linear inequalities.
By dividing the total value equation by 10, we simplify it to x + 5y = 25. As we need y to be greater than x and the total has to add up to 25, we can test different integral values of y starting from 1 upwards, while keeping in mind that the number of Rs. 50 notes should be more than the Rs. 10 notes. A suitable combination that meets these criteria is 3 notes of Rs. 50 and 2 notes of Rs. 10.