Determine 2538

Juraj, Milan, and Adrian have a total of 93 soldiers. Juraj has three more soldiers than Milan. Adrian has 15 more soldiers than Milan. Determine how much each one has.

Final Answer:

J =  28
M =  25
A =  40

Step-by-step explanation:

$$\begin{gathered} J+M+A=93 \\ J=3+M \\ A=M+15 \\ A+J+M=93 \\ J-M=3 \\ A-M=15 \\ Row3-Row1\to Row3 \\ -J-2M=-78 \\ Row3+Row2\to Row3 \\ -3M=-75 \\ M=\frac{-75}{-3}=25 \\ J=3+M=3+25=28 \\ A=93-J-M=93-28-25=40 \\ A=40 \\ J=28 \\ M=25 \end{gathered}$$

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