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Q: How Find three consecutive even integers such that three times the first integer is six more than twice the second integer?

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Consecutive integers could be thought of as counting numbers in a row. One of them is "lowest" and the next one will be one more than that, and the last one will be one more than the second one. The numbers 7, 8 and 9 and 46, 47 and 48 are each said to be three consecutive integers. You often come across a question that tells you that 3 consecutive integers add up to a value. Example 3 consecutive integers add to 6. What are the integers? Let the first integer be x the second is then x +1 the third x+2 add them x+x+1+x+2 =3x+3 and this would be equal to 6. we then have the equation 3x+3=6 3x=3 x=1 so the first integer is 1, the second would be 2 and the third 3

Let the first integer be x, and the second one be x + 1. So we have: x + x + 1 ≤ 10 2x + 1 ≤ 10 subtract 1 from both sides 2x ≤ 9 divide by 2 to both sides x ≤ 9/2 x ≤ 4.5 Since the numbers are integers, the largest number x may be 4, and the largest second number may be 5. Thus, the numbers are: First integer ≤ 4 and second integer ≤ 5.

Let the first odd integer be x, then the second one is x + 2. So we have: x + (x + 2) = 52 2x + 2 = 52 subtract 2 to both sides 2x = 50 divide by 2 to both sides x = 25 Thus, the first number is 25. Since consecutive odd integers grow by 2, then the second is 27, the third is 29, the fourth is 31, and the fifth integer is 33. So the sum of the last two integers is 64 ( 31 + 33).

Consecutive means one after another.If the first is a, then the second is a+1.The sum of these isa + a + 1 = 2a+1 = -3772a = -378a = -189So the two numbers are -189 and -188

Let the smallest consecutive odd integer be x, so the second will be x + 2, and the third one be x + 4. So we have:x + (x + 2) = 8(x + 4)2x + 2 = 8x + 322x - 8x + 2 - 2 = 8x - 8x + 32 - 2-6x = 30-6x/-6 = 30/-6x = -5 (the first odd integer)x + 2 = -5 + 2 = -3 (the second)x + 4 = -5 + 4 = -1 (the third)Thus, the three consecutive odd integers are -5, -3, and -1.Check:

Related questions

The first integer is 17.

The first integer is 44.

They are 14, 16 and 18.

Let the first consecutive integer be x. So that:the second integer is x + 1,the third integer is x + 2, andthe fourth integer is x + 3.We have:(x + 1) + (x + 3) = 1322x + 4 = 1322x = 128x = 64 the first integerThus, the four consecutive integers are 64, 65, 66, and 67.

10-11-12

If the first of these consecutive integers is x, the second integer would be x + 1, and the third integer would be x + 2.Since the sum of the second and the third integer is 17, we can writex + 1 + x + 2 = 172x + 3 = 172x + 3 - 3 = 17 - 32x = 142x/2 = 14/2x = 7Thus, the consecutive integers are 7, 8, and 9.

The let statement is: let the smallest of the three integers be x.

no solution. If you solve for x (where x is the first integer) the answer is a fraction, which is not an integer.

There are no such consecutive integer as is so simple to prove! Suppose the first integer is x. Then the next (consecutive) integer is x+1. Then 2*x + 4*(x+1) = 30 So that 2x + 4x + 4 = 30 6x + 4 = 30 6x = 30 - 4 = 26 x = 26/6 which is NOT an integer.

101 and 102 Explanation: I'll use x to represent the first integer and x + 1 to represent the second integer (consecutive integers are one right after another). x + x + 1 = 203 2 x = 202 x = 101 The two numbers are 101 and 102.

The integers would begin with 10.

Consecutive integers could be thought of as counting numbers in a row. One of them is "lowest" and the next one will be one more than that, and the last one will be one more than the second one. The numbers 7, 8 and 9 and 46, 47 and 48 are each said to be three consecutive integers. You often come across a question that tells you that 3 consecutive integers add up to a value. Example 3 consecutive integers add to 6. What are the integers? Let the first integer be x the second is then x +1 the third x+2 add them x+x+1+x+2 =3x+3 and this would be equal to 6. we then have the equation 3x+3=6 3x=3 x=1 so the first integer is 1, the second would be 2 and the third 3

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