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lora16 [44]
3 years ago
14

The sum of 6 consecutive odd numbers is 204.

Mathematics
1 answer:
shutvik [7]3 years ago
7 0

Answer:

29,31,33,35,37,39

Step-by-step explanation:

"X" will be the average of the 6 numbers, this will be an <em>even</em> number, the 6 <em>odd</em><em> </em>numbers are:

<u>x-5, x-3, x-1, x+1, x+3, x+5</u>

<u>NEXT</u>:

204=(x-5) + (x-3) + (×-1) + ( x+1) + (×+3) + (x+5)=6x

divide both ends by 6 to find:

<em>X</em><em>=204÷6 =</em><em>34</em>

<em>▪︎</em> This means the 6<em> </em><em><u>odd</u></em><em> </em>numbers are:

<u>29</u><u>,</u><u> </u><u>31</u><u>,</u><u> </u><u>33</u><u>,</u><u> </u><u>35</u><u>,</u><u> </u><u>37</u><u>,</u><u> </u><u>39</u>

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