'x' can't represent an odd integer, simply because 'x' is not always odd.
If you can guarantee that 'x' is odd, then the previous odd number is (x-2),
and the next one is (x+2).
The smallest number that MUST be odd for ANY value of 'x' is (2x-1).
The smallest two consecutive odd integers for any value of 'x' are (2x-1) and (2x+1).
Consecutive odd and even integers are both 2 apart. That is the reason we use the same denotation to represent them in an equation. x and x+2
15 x 17
No two consecutive EVEN integers sum to 124 since: Let x be the lowest of the two integers. Then the other integer is x+2 and x + (x+2) = 124 iff 2x = 122 iff x=61, an odd integer.
x + 3(x +1) = 330 4x = 327 which doesn't give an answer in integers. If question should read "consecutive ODD integers" the answer would be 81 and 83.
Let the first integer be x. Since the integers are consecutive odds we know that the integers are x, x+2, x+4,and x+6. Since the sum of all of these is 200 we can set up the equation:4x+12 = 200. Solving we get x=47. Therefore the integers are 47, 49, 51, and 53.
Let x be the smallest of the consecutive odd integers. Since consecutive odd integers differ by 2, we havex + (x + 2) + (x + 4) + (x + 6) = -2204x + 12 = -220 (subtract 12 to both sides)4x = -232 (divide by 4 to both sides)x = -58Thus, the four consecutive odd integers whose sum is -220 are -58, -56, -54, and -52.
There are no three odd consecutive integers because consecutive integers all have 1 between them, meaning at least one of them will be an even integer. ------------------- Let x, x+2, and x+4 be the three consecutive odd integers. We want x+(x+2)+(x+4) to equal 531. x+(x+2)+(x+4) = 531 3x+6=531 3x=531-6=525 x=525/3=175 Therefore, the three consecutive odd integers are 175, 177, and 179. A quick check shows that those three integers add up to 531.
Consecutive odd and even integers are both 2 apart. That is the reason we use the same denotation to represent them in an equation. x and x+2
x+3 and x+4 would be consecutive integers.
Let x be the 1st odd integer, then the next three odd integers are x+2, x+4, and x+6x+(x+2)+(x+4)+(x+6) = 9684x+12 = 9684x = 956x = 239so the 4 consecutive odd integers are 239, 241, 243, 245
Two consecutive odd integers are 'X' and 'X+2' . X + (X + 2) = 72 2X + 2 = 72 2X = 70 X = 35 X + 2 = 37
15 x 17
There is no difference, only your outcome. The formula for both is x+2
240
The three integers are 27, 28 and 29. Pick your own x...
If x is odd, then x+1 is even. Try this out with a few numbers.
Let's represent the three consecutive odd integers as ( 2n-1 ), ( 2n+1 ), and ( 2n+3 ), where ( n ) is an integer. According to the given information, twice the smallest integer ( 2(2n-1) ) is equal to seven more than the largest integer ( 2n+3 ). Setting up the equation, we have ( 4n-2 = 2n+3+7 ). Solving this equation gives us ( n = 6 ). Therefore, the three consecutive odd integers are 11, 13, and 15.