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The average of a and b is 10, average of b and c is 12 and average of c and a is 15. What is the average of a, b and c?
Given that the average of a and b is 10
i.e; (a+b)/2=10
a+b=20------(1)
average of b and c is given as 12
i.e; (b+c)/2=12
b+c=24-------(2)
average of c and a is 15
i.e; (c+a)/2=15
c+a= 30------(3)
adding equation 1,2,and 3
we get
2(a+b+c)=74
a+b+c=74/2
a+b+c=37
now the question asked is to find the average of a,b,c
i.e; $$\frac{37}{3}$$
hence answer is option D
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