Insert two arithmetic means between 15 and 27.
Answers
Answer:
28.5
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SOLUTION
TO DETERMINE
Insert two arithmetic means between 15 and 27.
EVALUATION
Let x and y are two arithmetic means between 15 and 27.
Then 15 , x , y , 27 are in Arithmetic Progression
First term = 15
Let common difference = d
Then x = 15 + d
y = 15 + 2d
27 = 15 + 3d
Now 27 = 15 + 3d gives
15 + 3d = 27
⇒ 3d = 27 - 15
⇒ 3d = 12
⇒ d = 4
∴ x = 15 + d = 15 + 4 = 19
∴ y = 15 + 2d = 15 + 8 = 23
FINAL ANSWER
Hence the required two arithmetic means between 15 and 27 are 19 and 23
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