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stich3 [128]
3 years ago
14

Si a la mitad de un número le restas su tercera parte, y, a este resultado, le sumas 85/2,

Mathematics
1 answer:
In-s [12.5K]3 years ago
3 0

Answer:

x = 15

Step-by-step explanation:

Llamaremos x al número que buscamos, entonces:

la mitad de x es  x/2, la tercera parte es x/3, y el triple del número es 3*x

De acuerdo al problema :

(x/2 - x/3 ) + 85/2  = 3*x

Esta es una ecuación de primer grado pasamos a resolverla.

( 3*x  -  2*x ) /6   + 85/2  = 3*x

x/6 + 85/2 = 3*x

( x + 255)/6 = 3*x

x  +  255  = 18*x

17*x  = 255

x  = 255/17

x = 15

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