Question

1- determine tres numeros de soma igual a 47, sabendo-se que sao inversamente proporcionais a 4, 3 e 5


2-divida o numero 1377 em partes inversamente proporcionais a 3, 4 e 6


me ajudem por favor

Answer 1

$\large\boxed{\begin{array}{l}\sf 1)\\\rm m\cdot m\cdot c(4,3,5)=60\\\rm\dfrac{60}{4}=15~~\dfrac{60}{3}=20~~\dfrac{60}{5}=12\\\\\rm k=\dfrac{47}{15+20+12}=\dfrac{47}{47}=1\\\\\rm as\, partes\,ser\tilde ao:\\\rm15\cdot1=15\\\rm 20\cdot1=20\\\rm12\cdot1=12\end{array}}$

$\large\boxed{\begin{array}{l}\sf 2)\\\rm m\cdot m\cdot c(3,4,6)=12\\\rm\dfrac{12}{3}=4~~\dfrac{12}{4}=3~\dfrac{12}{6}=2\\\\\rm k=\dfrac{1377}{4+3+2}=\dfrac{1377}{9}=153\\\\\rm as\,partes\,ser\tilde ao:\\\rm 4\cdot153=612\checkmark\\\rm3\cdot153=459\checkmark\\\rm2\cdot153=306\checkmark\end{array}}$