Answer:
12
Step-by-step explanation:
Consider the number of children to be '[tex]x[/tex]'
So, 144 coins were divided among '[tex]x[/tex]' children
For [tex]x-3[/tex] children, each child would have 16 coins
So now, solve the equation [tex](x-3)*16=144[/tex]
Solving for [tex]x[/tex]:
[tex](x-3)*16=144[/tex]
[tex]x-3=\frac{144}{16}[/tex]
[tex]x-3=9[/tex]
[tex]x=9+3[/tex]
[tex]x=12[/tex]
Therefore, there are 12 children.