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Ben and Michael are brothers. Ben is four times as old as Michael and their combined ages is 25 how old is Ben

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Ben and Michael are brothers

Let B represents Ben age

Let M represents Michael age

B = 4M


\begin{gathered} B\text{ + M = 25} \\ 4M\text{ + M = 25} \\ 5M\text{ = 25} \\ M\text{ = }(25)/(5) \\ M\text{ = 5yrs} \end{gathered}

Michael age = 5yrs

Ben = 4M

Therefore Ben age = 4 x 5 yrs

Ben = 20yrs

Hence the age of Ben = 20yrs

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