Question

LA QUINTA PARTE DE LASUMA DE DOS NUMEROS ES 20 Y LACUARTA PARTE DE LA DIFERENCIA DE LOS MISMO ES 10 HALLAR DICHOS NUMEROS

Answer 1

$\left \{ {{ \frac{x+y}{5} =20} \atop { \frac{x-y}{4} =10}} \right. \\ \\ \left \{ {{x+y=100} \atop {x-y=40}} \right. \\ \\ 2x=140 \\ x=70 \\ \\ \frac{70-y}{4}=10 \\ 70-y=40 \\ -y=40-70 \\ -y=-30 \\ y=30 \\ \\ \left \{ {{ \frac{70+30}{5} =20} \atop { \frac{70-30}{4} =10}} \right. \\ \\ \left \{ {{ \frac{100}{5} =20} \atop { \frac{40}{4} =10}} \right. \\ \\ \left \{ {{20=20} \atop {10=10}} \right.$