SOLUTION: find two consecutive even integers such that six times the first equals five times the second do there exist 7 consecutive integers with the sum of 130. explain. three conse

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Question 786927: find two consecutive even integers such that six times the first equals five times the second
do there exist 7 consecutive integers with the sum of 130. explain.
three consecutive odd intgers are such that the sum of the first and the third is 70. find the integers

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find two consecutive even integers such that six times the first equals five times the second
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1st: 2x
2nd: 2x+2
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Equation::
6(2x) = 5(2x+2)
12x =10x + 10
2x = 10
x = 5
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1st: 2x = 10
2nd: 2x+2 = 12
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do there exist 7 consecutive integers with the sum of 130. explain.
Equation:
1st: x-3
2nd: x-2
3rd: x-1
4th: x
5th: x+1
6th: x+2
7th: x+3
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sum = 130
7x = 130
x = 18.57
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That is not an integer.
Ans: No
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three consecutive odd intgers are such that the sum of the first and the third is 70. find the integers
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1st: 2x-1
2nd: 2x+1
3rd: 2x+3
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Equation:
(2x-1)+(2x+3) = 70
4x+2 = 70
4x = 68
x = 17
----
1st: 2x-1 = 34-1 = 33
2nd: 35
3rd: 37
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Cheers,
Stan H.