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.

Correct answer:

J =  28
M =  25
A =  40

Step-by-step explanation:

J+M+A=93 J=3+M A=M+15  A+J+M=93 J−M=3 A−M=15  Row3−Row1→Row3 A+J+M=93 J−M=3 −J−2M=−78  Row3+Row2→Row3 A+J+M=93 J−M=3 −3M=−75  M=−75−3=25 J=3+M=3+25=28 A=93−J−M=93−28−25=40  A=40 J=28 M=25J+M+A = 93 \ \\ J = 3+M \ \\ A = M+15 \ \\ \ \\ A+J+M = 93 \ \\ J-M = 3 \ \\ A-M = 15 \ \\ \ \\ Row 3 - Row 1 → Row 3 \ \\ A+J+M = 93 \ \\ J-M = 3 \ \\ -J-2M = -78 \ \\ \ \\ Row 3 + Row 2 → Row 3 \ \\ A+J+M = 93 \ \\ J-M = 3 \ \\ -3M = -75 \ \\ \ \\ M = \dfrac{ -75 }{ -3 } = 25 \ \\ J = 3+M = 3+25 = 28 \ \\ A = 93-J-M = 93-28-25 = 40 \ \\ \ \\ A = 40 \ \\ J = 28 \ \\ M = 25

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