Answer:
[tex]\$44\text{ and }\$11[/tex]
Step-by-step explanation:
[tex]\text{Solution: }\\\text{Let your brother has }\$x\text{ and you have }\$y.[/tex]
[tex]\text{You have four times more money than your brother,}\\y=4x.......(1)[/tex]
[tex]\text{The total money of you and your brother is }\$55, \text{ therefore:}[/tex]
[tex]x+y=55.....(2)[/tex]
[tex]\text{Substituting y-value from equation(1) in equation(2),}\\x+4x=55\\\text{or, }5x=55\\\text{or, }x=11[/tex]
[tex]\text{This is your brother's money, i.e. }\$11.[/tex]
[tex]\text{Your money = }4x=4(\$11)=\$44[/tex]