SOLUTION: if the average of 5 and k is equal to the average of 2,6 and k what is k value

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Question 520008: if the average of 5 and k is equal to the average of 2,6 and k what is k value
Found 2 solutions by mananth, Maths68:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
(5+k)/2 = (2+6+k)/3
cross multiply
3(5+k)=2(8+k)
15+3k=16+2k
3k-2k=15-15
k=1
CHECK
5+1/2=3
(2+6+1)/3 =3

Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
(5+k) / 2 = (2 + 6 + k)/3
(5+k) / 2 = (8 + k)/3
3(5+k)=2(8+k)
15+3k=16+2k
3k-2k=16-15
k=1


Check
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(5+k) / 2 = (2 + 6 + k)/3
(5+1) / 2 = (2 + 6 + 1)/3
6/2=9/3
3=3