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  4. The mean and the median of the following ten numbers in increasing order 10, 22, 26, 29, 34, x 42, 67, 70, y are 42 and 35 respectively, then (y/x) is equal to :

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Q. The mean and the median of the following ten numbers in increasing order $10, 22, 26, 29, 34, x 42, 67, 70,\, y$ are $42$ and $35$ respectively, then $\frac{y}{x}$ is equal to :

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Solution:

$\frac{34+x}{2} =35 $
$ x=36 $
$ 42 = \frac{10+22+26+29+34+36+42+67+70+y}{10} $
$ 420-336 =y \Rightarrow y = 84 $
$\frac{y}{x} = \frac{84}{36} = \frac{7}{3} $