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love history [14]
3 years ago
10

Find three consecutive ODD integers such that the sum of 7 times the smallest and twice the largest is -91. Name the smallest in

teger..
Mathematics
1 answer:
Illusion [34]3 years ago
5 0

Answer:

<h3>               -11, -9, -7</h3><h3>the smallest:   2x+1 = -11</h3>

Step-by-step explanation:

{z - some integer}

2z+1  - the smallest number

7(2z+1)  - <u>seven times the smallest number</u>

2z+1+2=2z+3  - the middle number

2z+3+2 = 2z+5 - the largest number

2(2z+5) - <u>twice the largest number</u>

7(2z+1) + 2(2z+5)  - the sum of 7 times the smallest and twice the largest

7(2z+1) + 2(2z+5)   = -91

14z + 7 + 4z + 10 = -91

              -17              -17

      18z   = -108

       ÷18        ÷18

        z = -6

2z+1 = 2(-6)+1 = -12 + 1 = -11  

2z+3 = 2(-6)+3 = -12 + 3 = -9

2z+5 = 2(-6)+5 = -12 + 5 = -7        

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See below ↓↓

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<u></u>

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