Question

(1) 3 (n + 6) = (3x) + (376)
(ii) (74) + (n ×3)=7(4+3)
(iii) 9×8) + (8 × 8) = (9+8) n​

Answer 1

Answer:

Solving this problem is basically solving the equation 3x+y= 10 where x and y respectively denote the number of pencils and pens purchased and hence from the context we know that x and y should be both positive integers and hence this equation has exactly the three solutions as above.

Hence we see that when certain special conditions are imposed on the variables, the indeterminate equations also can yield a finite number of solutions and sometimes even a unique solution. The conditions that we normally come across are

Minimum values of the variables

Maximum values of the variables

Variables being positive integers

Limits on the difference in the values