21,22,23,24,25
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The Algebra Solution Method
For any 5 consecutive numbers, starting with X, the four following are X+1, X+2, X+3, and X+4.
The equation becomes X + (X+1) + (X+2) + (X+3) + (X+4) = 115
So 5x + 10 = 115 and X =21
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The Arithmetic Mean Method
Any five consecutive numbers will have an average or mean equal to the middle number. Knowing that 5 times that number is 115,
5M = 115 and the central number M is 23.
If you mean five even consecutive numbers added together, it is 42, 44, 46, 48, and 50. 42+44+46+48+50=230. To get this, I divided 230 by five, (46) then counted down two to the next even number, (44), down another two (42) then started at 46 and went up two to 48, then another two to 50. Then, to check, I added them together.
19
The 13 consecutive numbers from 114 to 126 are composite.The 13 consecutive numbers from 114 to 126 are composite.The 13 consecutive numbers from 114 to 126 are composite.The 13 consecutive numbers from 114 to 126 are composite.
The value of the greatest integer is 76. This occurs when the set of five consecutive integers is all even numbers.
8,9,10,11,12
12, 13, 14, 15, 16
If you mean five even consecutive numbers added together, it is 42, 44, 46, 48, and 50. 42+44+46+48+50=230. To get this, I divided 230 by five, (46) then counted down two to the next even number, (44), down another two (42) then started at 46 and went up two to 48, then another two to 50. Then, to check, I added them together.
741,743,745,747,749
19
15,17,19,21,23
The 13 consecutive numbers from 114 to 126 are composite.The 13 consecutive numbers from 114 to 126 are composite.The 13 consecutive numbers from 114 to 126 are composite.The 13 consecutive numbers from 114 to 126 are composite.
The value of the greatest integer is 76. This occurs when the set of five consecutive integers is all even numbers.
8,9,10,11,12
No five consecutive numbers make 77. 13 + 14 + 15 + 16 + 17 = 75 and 14 + 15 + 16 + 17 + 18 = 80 You cannot consider fractional numbers because the concept of consecutive does not apply to fractions.
31 = 1 + 2 + 3 + 4 + 21
60.
60,62,64,66,68