If a + b = 8, b + c = 10 and c + a = 12, what is the value of a + b + c = - www.mathselab.com

If a + b = 8, b + c = 10 and c + a = 12, what is the value of a + b + c = ?

Question


If a + b = 8,
b + c = 10
and c + a = 12, what is the value of a + b + c = ?


A. 15
B. 30
C. 10
D. 12


Answer: A. 15


Solution:

We have :

a + b = 8
b + c = 10
c + a = 12

We have to find a + b + c

We add each column, So we found:

a + b + b + c + c + a = 8 + 10 + 12

2a + 2b + 2c = 30

2(a + b + c) = 30

a + b + c = 30/2

a + b + c = 15





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