Q36. Case Study — 1
On her birthday, Prema decides to donate some money to children of an orphanage home.



If there are 8 children less, everyone gets ₹10 more. However, if there are 16 children more, everyone gets ₹10 less.
Let the number of children in the orphanage home be x and the atuount to be donated to each child be ₹y.
Based on the above information, answer the following questions:

(i) Write the system of linear equations in x and y formed of the given situation.
(ii) Write the system of linear equations, obtained in (i) above, in matrix form AX = B. (iii) (a) Find the inverse of matrix A.

OR

Determine the values of x and y.

Solution