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josuep425
20.12.2021 •
Mathematics
The sum of three consecutive odd integers is 129. find the integers
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Ответ:
Step-by-step explanation:
Let the three consecutive integers be x, x + 2 and x + 4
So, the given condition is:
x + x + 2 + x + 4 = 129
3x + 6 = 129
Subtract 6 to both sides
3x = 129 - 6
3x = 123
Divide 3 to both sides
x = 123/3
x = 41
So, the integers are:
x = 41
x + 2 = 41 + 2 = 43
x + 4 = 41 + 4 = 45
Hope this helped!
~AH1807Ответ:
Let the first number be = n
The difference of consecutive odd numbers is 2
So,the next two numbers are (n+2)(n+4)
Then,
→ (n) + (n+2) + (n+4) = 129
Remove brackets:
→ n + n + 2 + n + 4 = 129
→ 3n + 6 = 129
→ 3n = 129 – 6
→ 3n = 123
→![n = \frac{123}{3}](/tpl/images/2601/4460/985f5.png)
So, (n+2) = 41 + 2 = 43 , (n+4) = 41 + 4 = 45
» The three integers are 41, 43 and 45
Ответ:
153
Step-by-step explanation:
Box 1:
180 = 124 + (5x + 11)
56 = 5x + 11
45 = 5x
x = 9
Box 2:
RT = QS
x + 9 = 2x - 5
x = 14
Box 3:
14x - 3 = 18x -19
16 = 4x
x = 4
Box 4:
180 = (9x - 8) + (7x - 4)
180 = 16x - 12
192 = 16x
x = 12
Box 5:
(6x + 34) = (12x - 8)
42 = 6x
x = 7
Box 6:
45 = 7x - 25
70 = 7x
x = 10
Box 7:
54 - x = 3x - 10
64 = 4x
x = 16
Box 8:
12x + 1 = 9x + 16
3x = 15
x = 5
Box 9:
3x + 2x - 5 = 90
5x - 5 = 90
5x = 85
x = 17
Final Code:
(9)(17) = 153