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Applied Mathematics · 2024 · 4 marks
CBSE 2024 · Central · Set 4 · Q36
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,…
On her birthday, Prema decides to donate some money to children of an orphanage home.
If there are $\displaystyle 8$ children less, everyone gets ₹ $\displaystyle 10$ more. However, if there are $\displaystyle 16$ children more, everyone gets ₹ $\displaystyle 10$ less.
Let the number of children in the orphanage home be x and the amount 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 $\displaystyle \mathrm{AX}=\mathrm{B}$.
(iii)
(a)
Find the inverse of matrix A.
OR
(b)
Determine the values of x and y.
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