Question

halla a+b+c si, BBA + CB5 + 1AB = 74B

Answer 1

BBA+
CB5
1AB
-----
74B

a=5
b=4
c=1
 
a+b+c=10

Answer 2

A + B + C = 1

   

⭐Explicación paso a paso

Hallaremos el valor de a + b + c, sabiendo que:

 

BBA + CB5 + 1AB = 74B

 

Expresamos la suma:

 

  BBA

+ CB5

   1AB

  _____

   74B

 

En base a ello tenemos:

 

A + 5 + B = B

A + 5 = B - B

A + 5 = 0

A = -5

   

B + B + A = 4

2B + A = 4

 

Pero A = -5:

2B - 5 = 4

2B = 4 + 5

2B = 9

 B = 9/2

   

B + C + 1 = 7

9/2 + C + 1 = 7

C = 7 - 1 - 9/2

C = 6 - 9/2

C = 3/2

 

Por lo tanto, A + B + C, es :

A + B + C = -5 + 9/2 + 3/2 = -5 + 12/2 = -5 + 6 = 1

 

✅Comprobamos cada valor:

A + 5 + B = B

-5 + 5 + 9/2 = 9/2

0 + 9/2 = 9/2

0 = 9/2 - 9/2

0 = 0

   

B + B + A = 4

9/2 + 9/2 - 5 = 4

9 - 5 = 4

   

B + C + 1 = 7

9/2 + 3/2 + 1 = 7

6 + 1 = 7

7 = 7

 

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