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Q: Find four consecutive integers such that 6 times the first is equal to the sum of the other 3?
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What areThree consecutive even integers?

consecutive means following each other so 3,4,5 are consecutive as are; 100,101,102 etc


What are two consecutive integers whose sum is 24?

There are no two such consecutive 'integers'!!Proof: Let the first integer be x.So, the next consecutive integer is x+1.Now, as per the question : x + (x+1) = 24=> 2x=23 (After taking all constants on one side and variable terms on the other).=> x=(23/2) = 11.5So, 11.5 & 12.5 are the required numbers but they are not integers !


What are two consecutive integers add up to 26?

This is impossible, in mathematical terms. If you take two consecutive integers, then one of the integers must be odd and the other must be even. When you add an odd number to an even number, the result is always an odd number. Here, you said two consecutive integers add up to 26, which is an even number. Therefore, the answer is "No real solutions."


The sum of four consecutive integers is 90what is the value of the third integer?

Let the first integer be x. Since the consecutive integers differ by 1, the other consecutive integers would be (x + 1), (x + 2), and (x + 3). So we havex + x + 1 + x + 2 + x + 3 = 904x + 6 = 904x + 6 - 6 = 90 - 64x = 844x/4 = 84/4x = 21Thus, the third integer is 23 (21 + 2 = 23).


Three consecutive odd integers such that four times the sum of the first and second is 7 less than 7 times the third?

Let's call the smallest of the consecutive odd integers x. Then the other ones are x+2 and x+4 respectively, and your equation becomes 4*(x+x+2)+7 = 7*(x+4) which is equivalent to 8x+15=7x+28 or x=13, so the consecutive integers you're looking for are 13, 15 and 17.

Related questions

What are two consecutive integers is 200 between?

"Consecutive" integers are integers that have no other integer between them.


What are the two consecutive integers with a sum of 58?

There are no two consecutive integers that sum to 58. With two consecutive integers, one is even, the other is odd. The sum of an even number and an odd number is odd. 58 is even so cannot be the sum of two consecutive integers.


What are the two consecutive integers of 224?

There are no consecutive integers that add or multiply to 224. If you meant some other binary operation, you should specify what you meant.


What areThree consecutive even integers?

consecutive means following each other so 3,4,5 are consecutive as are; 100,101,102 etc


Is The sum of any three consecutive integers is divisible by 3 Two integers are consecutive if and only if one is one more than the other is this true or false and what would be the counterexample?

Both statements are true.These should really be asked as two separate questions.Yes, the sum of any three consecutive integers is divisible by 3. Call the first number "n", the other two will be "n + 1" and "n + 2". Adding everything together, you get 3n + 3, which is equal to 3(n + 1). Since "n" is a whole number, so is "n + 1", and 3 times as much is a multiple of 3.Two integers are consecutive if one is one more than the other... Well, yes, that's basically the definition of "consecutive".


What are two consecutive integers whose sum is 24?

There are no two such consecutive 'integers'!!Proof: Let the first integer be x.So, the next consecutive integer is x+1.Now, as per the question : x + (x+1) = 24=> 2x=23 (After taking all constants on one side and variable terms on the other).=> x=(23/2) = 11.5So, 11.5 & 12.5 are the required numbers but they are not integers !


The product of two consecutive integers is 156?

Yes, the integers are 12 and 13.


How would you find four consecutive even integers whose sum is four?

You can do this by trial-and-error. Or, give the lowest of the four consecutive integers a name, like "x". The three other integers will then be "x+2", "x+4", and "x+6". So, you have to solve the equation:x + (x + 2) + (x + 4) + (x + 6) = 4The answer is the lowest of the four consecutive even integers.You can do this by trial-and-error. Or, give the lowest of the four consecutive integers a name, like "x". The three other integers will then be "x+2", "x+4", and "x+6". So, you have to solve the equation:x + (x + 2) + (x + 4) + (x + 6) = 4The answer is the lowest of the four consecutive even integers.You can do this by trial-and-error. Or, give the lowest of the four consecutive integers a name, like "x". The three other integers will then be "x+2", "x+4", and "x+6". So, you have to solve the equation:x + (x + 2) + (x + 4) + (x + 6) = 4The answer is the lowest of the four consecutive even integers.You can do this by trial-and-error. Or, give the lowest of the four consecutive integers a name, like "x". The three other integers will then be "x+2", "x+4", and "x+6". So, you have to solve the equation:x + (x + 2) + (x + 4) + (x + 6) = 4The answer is the lowest of the four consecutive even integers.


What are four consecutive numbers that add up to 268?

There are no such numbers. If S is the sum of any 4 consecutive integers then S = 2 (mod 4) In other words, any four consecutive integers add up to an even number that is NOT dvisible by 4.


If the sum of three consecutive integers is 237 then what are the integers?

Consecutive integers mean the numbers follow one after the other. So, if you let x be an integer, then x, x+1, and x+2 are your three consecutive integers. "Sum" means they were added. So: x+(x+1)+(x+2)=237 => 3x+3 = 237 => 3x = 234 => x=78. Therefore, your integers are: 78, 79, and 80.


What are two consecutive integers add up to 26?

This is impossible, in mathematical terms. If you take two consecutive integers, then one of the integers must be odd and the other must be even. When you add an odd number to an even number, the result is always an odd number. Here, you said two consecutive integers add up to 26, which is an even number. Therefore, the answer is "No real solutions."


What is the larger of two consecutive even integers if their sum is 226?

The larger is 114, and the other is 112.