If the average of X and Y is 200, the average of Y and Z is 238.5 and that of X and Z is 152.5. Find the average of X, Y and Z.
If the average of X and Y is 200, the average of Y and Z is 238.5 and that of X and Z is 152.5. Find the average of X, Y and Z.
1). 161
2). 173
3). 197
4). 215
2 answers
Given, (X + Y)/2 = 200
⇒ X + Y = 400 ----(1)
Also, (Y + Z)/2 = 238.5
⇒ Y + Z = 477 ----(2)
Also, (X + Z)/2 = 152.5
⇒ X + Z = 305 ----(3)
Adding all the equations,
⇒ 2(X + Y + Z) = 400 + 477 + 305
⇒ X + Y + Z = 1182/2 = 591
⇒ (X + Y + Z)/3 = 591/3 = 197
∴ The required average is 197
Given, (X + Y)/2 = 200
⇒ X + Y = 400 ----(1)
Also, (Y + Z)/2 = 238.5
⇒ Y + Z = 477 ----(2)
Also, (X + Z)/2 = 152.5
⇒ X + Z = 305 ----(3)
Adding all the equations,
⇒ 2(X + Y + Z) = 400 + 477 + 305
⇒ X + Y + Z = 1182/2 = 591
⇒ (X + Y + Z)/3 = 591/3 = 197
∴ The required average is 197
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