What Are The Three Numbers of Equal To

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Three numbers are such that the average of first tow numbers is 2, the average of the last two numbers is 3 and the average of the first and the last numbers is 4, Then the average of three numbers is equal to

  1. 2
  2. 3.5
  3. 3
  4. 2.5
Anurag Mishra Professor Asked on 21st July 2015 in Maths.
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Best answer

Answer: (3) 3
Explanation:-
Let be the three numbers are X, Y  & Z.
The average of first two numbers  = 2
The sum of first two numbers (X + Y ) = 2 x 2 = 4
Then, X + Y  =  4                     …………………………  (1)

The average of last two numbers = 3
The sum of last two number = 2 x 3 = 6
Then,  Y + Z = 6                              …………………………………  (2)

The average of  first and last numbers = 4
The sum of first and last numbers = 2 x 4 = 8
Then, X + Z = 8                     …………………………………….  (3)

Add on equation (1), (2)  &  (3)
X + Y + Y  + Z + X + Z = 4 + 6 + 8
2X + 2Y + 2Z = 18
2 (X + Y + Z) = 18
X + Y + Z  = 18/2 = 9
The average of X , Y & Z = (X + Y + Z) = 9 /3 = 3
Hence, the answer is (3) 3.

Anurag Mishra Professor Answered on 22nd July 2015.
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