3 years ago

The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.

Mathematics

1 answer:

tangare [24]3 years ago

3 0

The larger number is 51 and the smaller number is 12. ( hope I helped) have a good day

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Step-by-step explanation:

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The mean score of 8 players is 14.5. If the highest individual score is removed the mean of the score of the remaining 7 players

AfilCa [17]

Answer:

The highest score is 32.

Step-by-step explanation:

We are given the following in the question:

The mean score of 8 players is 14.5.

Let x denote the highest score.

If x is removed, the mean of the score of the remaining 7 players is 12.

Formula for mean:

$\bar{x} = \dfrac{\displaystyle\sum x_i}{n}$

Putting values, we get:

$14.5 = \dfrac{\displaystyle\sum x_i}{8}\\\\\Rightarrow \displaystyle\sum x_i = 116\\\\12 = \dfrac{\displaystyle\sum y_i}{7}\\\\\Rightarrow \displaystyle\sum y_i = 84\\\\\displaystyle\sum y_i = \displaystyle\sum x_i -x \\\\84 = 116 - x\\\Rightarrow x = 32$