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Thank you

Gaymer2345  Sep 19, 2017
edited by Guest  Sep 19, 2017
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The sum of two consecutive integers is no more than 209.

What is the larger of the two integers?

N  + N +1      ≤   209

2N + 1  ≤  209           subtract 1 from both sides

2N ≤  208                 divide both sides by 2

N ≤  104

The larger of the two integers  = N + 1    =   105

A figure skater needs a total score of at least 90 to move on to the next round. The total score is the average of four judges’ scores. The first three judges’ scores were 83, 88, and 92. The figure skater made it to the next round.

What is the minimum score the fourth judge could have given?

We have that

[ 83 + 88 + 92  + M  ] / 4   ≥  90      multiply both sides by  4

83 + 88 + 92  + M ≥   360     simplify

263 + M ≥ 360           subtract  263 from both sides

M ≥  97      →  the skater needs to get a score of 97  [or more ]

CPhill  Sep 19, 2017

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