Question

Si: a/2=b/3=c/7 y b-a=5, halla c.

Answer 1

Respuesta:

b-a= 5

b= 5+a

a/2= b/3

a= 2b/3

a= 2(5+a)/3

3a= 2(5+a)

3a= 10 +2a

3a-2a= 10

a= 10

b-a= 5

b= 5+a

b= 5+10

b= 15

a/2 = C/7

C= 7a/2

C= 7(10)/2

C= 70/2

C= 35

A= 10, B= 15, C= 35

Comprobamos

a/2=b/3=c/7

10/2 = 15/3= 35/7

5= 5= 5

b-a= 5

15 - 10= 5

5= 5.

Saludos❤️

Answer 2

Respuesta:

c = 35

Explicación paso a paso:

a/2=b/3=c/7

b-a=5 => b = 5 + a

a/2 = b/3

2b = 3a => 2(5+a) = 3a => 10 + 2a = 3a => a = 10

10/2 = b/3 => 30 = 2b => b = 15

a/2 = c/7 => => 10/2 = c/7 => c = 35

Comprobación:

10/2 = 15/3 = 35/7 => 5 = 5 = 5

15 - 10 = 5

RPTA: c = 35