Determinati numerele x,y,z, stiind ca x/2=y/3=z/4 si 2x+y+5z=81

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1 September 2025 matematica 5 minute
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Determinati numerele x,y,z, stiind ca x/2=y/3=z/4 si 2x+y+5z=81

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x/2=y/3=z/4=k
2x+y+5z=81

x/2=k=>x=2k
y/3=k=>y=3k
z/4=k=>z=4k
2×2k+3k+5×4k=81
4k+3k+20k=81
27k=81/:27
k=3
x=6
y=9
z=12
Răspunsul a fost dat în data 1 September 2025

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