On her birthday seema decided to donate some money to children of an orphanage home If there ware 8 - Maths - Matrices

Question

On her birthday seema decided to donate some money to children of
an orphanage home If there ware 8 children less, every one would
have got Rs 10 more However, if there were 16 children more, every
one would have got Rs 10 less Using matrix method, find the number
of children and the amount distributed by seema

Tejaswi · Accepted Answer

Dear Student,

Let the amount distributed by seema be 'n' and no of children be x
So, amount each child got = nxIf there 8 children less, they would have got 10rs more
 So,nx-8= nx+10⇒nx=nx-8n+10x2-80x⇒5x2-40x=4n 
 (1) If there were 16 children more, every one would have got Rs
10 less
 So,nx+16= nx-10⇒nx=nx+16n-10x2-160x⇒5x2+80x=8n 
 (2)Dividing (2) by (1) , we get5x2+80x5x2-40x=2⇒5x2-160x=0⇒x=32Subsituting in (1) , we getn=960
Regards,