Question

The mean of numbers 33,x + 37 is 35.Find the value of x

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Answer 1

Step-by-step explanation:

Mean of 11 number=35

Sum of 11 number=35×11=385

Mean of first 6 number=32

Sum of 6 number=32×6=192

Mean of last 6 number=37

Sum of 6 number=37×6=222

∴ Sixth number=(192+222)−385

⇒414−385=29

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Answer 2

Given::

The mean of numbers 33,x + 37 is 35.Find the value of x

Answer::

$\mathtt{Mean=\frac{Sum \ of \ all \ numbers}{2}}$

$\mathtt{35 = \frac{33(x + 37)}{2} } \\ \\ \mathtt{35 = \frac{33 + x + 37}{2} } \\ \\ \mathtt{35 = \frac{x + 70}{2} } \\ \\ \mathtt{35 \times 2 = x + 70} \\ \\ \mathtt{70 = x + 70} \\ \\ \mathtt{70 - 70 = x } \\ \\ \mathtt{0 = x \: \: ans}$

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