si m/n = 3/5 y m + n = 48, halla m.
A. 30 C. 17 E. 15
B. 18 D. 48
A. 30 C. 17 E. 15
B. 18 D. 48
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
m + n = 48
3n/5 + n = 48
3n•1 + n•5/ 5 = 48
3n + 5n / 5 = 48
8n = 48 • 5
8n = 240
n = 240/8
n = 30
m + n = 48
m + 30 = 48
m = 48 - 30
m = 18
Respuesta: m = 18 (Opción B)
Explicación paso a paso:
Si m/n = 3/5, entonces 5m = 3n. Y así, m = (3/5)n .......... (*).
Por tanto, (3/5)n + n = 48.
Al multiplicar la ecuación por 5, resulta:
3n + 5n = 240
8n = 240
n = 240 / 8
n = 30
Al sustituir el valor de n en (*), se obtiene:
m = (3/5) . 30
m = 18