0
The sum of three consecutive integers is 13 greater than twice the smallest of the three integersfind the integer?
Wiki User
∙ 13y ago
Integers are n, n + 1 and n + 2, so 3n + 3 = 13 + 2n
Subtract 2n from each side: n + 3 = 13
Subtract 3 from each side: n = 10
Job done.
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
What are three consecutive integers that equal 171?
I'm assuming this is supposed to say: "What are three consecutive integers that add together to equal 171?"This could also be "What are three consecutive integers that multiply together to equal 171?"I will do both.For the addition caseThink of "three consecutive integers" as the expressions x, x+1, and x+2. For any value of x, these three expressions will give that number, the number that is one greater than it, and the number that is two greater than it. So, the expression x+(x+1)+(x+2) is the general sum of three consecutive integers. Also possible is the expression x+(x-1)+(x-2), which are still three consecutive integers. So, this is a simple equation:x+(x+1)+(x+2)=171x+x+1+x+2=1713x+3=1713x=168x=168/3x=56Since x=56, x+1=57 and x+2=58So the three numbers are 56,57,and 58You can check this answer by adding the three numbers together. I'll bet they equal 171.For the multiplication case:Refer to the explanation for the addition case, but instead of the end expression being x+(x+1)+(x+2), it is now the multiplication of the three integers, meaning the expression is (x)(x+1)(x+2), so we get: (x)(x+1)(x+2)=171(x)(x2+3x+2)=171x3+3x2+2x=171I'll admit right now I don't know a simple way to solve this equation, which hints to me that addition was the intent of the question, but this equation can be solved by plotting the equationsy=x3+3x2+2xy=171and finding their point(s) of intersection. The value comes out to be approximately 4.6106, which means that the numbers 4.6106, 5.6106, and 6.6106 will multiply to equal approximately 171 (but not exactly). No exact answer is really possible here.
If the replacement set is the set of integers find the solution set for the inequality x plus 11 greater than 12?
x=2, 3, 4...
What is the smallest number of pebbles greater than 10 for which grouping them in heaps of 7 leaves plus 1 extra and grouping them in heaps of 5 leaves plus 3 extra?
43
Does the equation 3x plus 6y equals 47 have a solution in which x and y are both positive integers?
3x + 6y = 47 6y = -3x + 47 y = -3x/6 + 47/6 y = (-3x + 47)/6 Since we are looking for positive integer, 3x (x > 0) cannot be greater than 47, the possibilities of the numerator are 42, 36, 24, 18, 12, and 6, so that - 3x must be -5, -11, -23, -29, -35, and -41. Since any of them are not multiples of -3, we can not find any pair of positive integers that satisfy the equation. So x and y cannot be both positive integers.
What is C Cx plus 2y x plus y greater or equal to 8 x greater or equal to 3 y greater or equal to 0?
what is c, x + 2y, x+y equal to or greater than 8, x equal to or greater than 3, y equal to or greater than 0.
What are the two smallest consecutive odd integers whose sum is greater than 17?
9 and 11.
What is the set of the six consecutive integers beginning with -7?
The six consecutive integers greater than -7 are: -7, -6, -5, -4, -3, -2
The sum of three consecutive integers is no less than 42. Find the integers.?
x + (x+1) + (x+2) ≥ 42 3x + 3 ≥ 42 3x ≥ 39 x ≥ 13 so the integers must be 13, 14, 15 or any other set of consecutive integers where the smallest is greater than 13 (such as 17, 18, 19 or 231, 232, 233)
Cindy had three consecutive even integers She found that the product of their sum and 3 was 20 greater than 8 times the third integerWhat were Cindys integers?
greater
What is the least common multiple of two consective numbers that is greater than two hundred and a multiple of seven?
The LCM of consecutive integers is their product. Consecutive integers will not both be multiples of seven.
What is the greatest common factor of two consecutive numbers?
The GCF of two consecutive numbers is always 1. The GCF of any set of numbers can't be greater than the smallest of the differences between the numbers.
What is the smallest integers with a factorial greater than one million?
2^30
What are the two integers if the lesser of two consecutive odd integers is doubled the result is 7 more than the greater integer?
The integers are the sqare root of 121 and 81 to the 2/4 power.
Two consecutive integers where the square of the larger is 7 units greater than the square of the smaller?
3 and 4
What two consecutive integers that the lesser added to two times the greater gives a sum of 22?
6 and 8
The greater of two consecutive even integers is 10 less than twice the smaller find the integers?
integers are x and x + 2, so x + 2 = 2x - 10 ie x = 12. Integers are 12 and 14
What is the sum of 3 consecutive odd integers that is at least 162 the minimum sum?
3 odd integers must total an odd number. 3 consecutive odd integers must total a multiple of 3. The lowest number greater than 162 which satisfies these requirements is 165, ie 53 + 55 + 57
