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CBSE Class 9 Answered

For what value of x will 8 and x have the same mean as 27 and 5? Elaborate step-by-step.
Asked by stutagra | 11 Feb, 2017, 03:46: PM
answered-by-expert Expert Answer
begin mathsize 16px style Mean space of space 27 space and space 5 equals fraction numerator sum space of space all space observations over denominator total space number space of space observations end fraction equals fraction numerator 27 plus 5 over denominator 2 end fraction equals 32 over 2 equals 16 Mean space of space 8 space and space straight x equals fraction numerator 8 plus straight x over denominator 2 end fraction Since space we space have space to space find space that space value space of space straight x space for space which space the space mean space of space 8 space and space straight x space is space equal space to space left parenthesis or space same right parenthesis space as space that space of space 27 plus 5 So comma space Mean space of space 8 space and space straight x equals Mean space of space 27 space and space 5 rightwards double arrow fraction numerator 8 plus straight x over denominator 2 end fraction equals 16 rightwards double arrow 8 plus straight x equals 32 rightwards double arrow straight x equals 24 Hence comma space if space straight x equals 24 comma space the space mean space of space 8 space and space straight x equals 24 comma space will space be space the space same space as space that space of space 27 space and space 5. end style
Answered by Rebecca Fernandes | 12 Feb, 2017, 09:26: AM

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CBSE 9 - Maths
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