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The mean of three numbers is 12. if two of the numbers are 9 and 14, find the third numbe explain full |
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Answer» AnswerCorrect option isA81Let the HIGHEST number be y and the MIDDLE number be x.We know that,Mean= number of observationssum of OBSERVATIONS ∴ Mean= 3x+y+z GIVEN that, Mean =40 and the lowest number =19.∴40= 3x+y+19 ⇒x+y+19=120⇒ x+y=120−19=101⇒ y=101−xTherefore, for y to be maximum, x should be minimumAlso x>19 [As x is not the smallest]⇒x=20Therefore, maximum value y=101−20=81make be brilliant |
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