0
How do you find three consecutive integers so that twice the first increased by three times the third will be -24?
Wiki User
∙ 15y ago
The three integers, since they are consecutive, can be listed as a, a+1, and a+2.
Twice the first is 2a.
Three times the third is 3(a+2) = 3a+6.
First make a formula of the information given:
2a+(3a+6)= -24
Next, solve the formula:
5a + 6 = -24
Subtract 6 from each side.
5a = -30
Divide each side by 5.
a = -6
The three consecutive numbers are -6, -5, and -4.
Wiki User
∙ 15y ago
Add your answer:
Earn +20 pts
Find the smallest of four consecutive even integers if twice the sum of the second and third integers is equal to the sum of the first and fourth integers increased by fourteen?
Since we know that the integers are even and consecutive, we can call them x, x+2, x+4, and x+6, with x being the smallest of the four. twice the sum of the second and third can be written as 2(x+2+x+4)=4x+12 the sum of the first and fourth increased by 14 is x+x+6+14=2x+20 Then we can solve 4x+12=2x+20-->2x=8-->x=4 4
How do you find consecutive integers?
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
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
If the sum of the first two of the five consecutive odd integers is 52what is the sum of the last two integers?
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).
What is the sum of three consecutive integers of 915?
If the first number is 915, then the second will be 915 + 1 = 916 and the third number will be 915 + 2 = 917. Add 915, 916 and 917 to find the sum. If the question is, what are the three consecutive numbers whose sum is 915, then divide 915 by 3 to find the middle number which is 305. Since the consecutive numbers differ by 1, the numbers are 304, 305, and 306.
Find the smallest of four consecutive even integers if twice the sum of the second and third integers is equal to the sum of the first and fourth integers increased by fourteen?
Since we know that the integers are even and consecutive, we can call them x, x+2, x+4, and x+6, with x being the smallest of the four. twice the sum of the second and third can be written as 2(x+2+x+4)=4x+12 the sum of the first and fourth increased by 14 is x+x+6+14=2x+20 Then we can solve 4x+12=2x+20-->2x=8-->x=4 4
What are the 2 consecutive integers such that the sum of one-third the first and one-fourth the second is 9?
-7
What three consecutive positive even integers such that the product of the second and third integers is twenty more than ten times the first integer?
10-11-12
Find 3 consecutive whole numbers such that the first and third add up to 118?
121
Find Four consecutive integers such that 8 times the sum of the first and the third is 40 greater than 10 times the fourth?
9,10,11,12
Find three consecutive even integers such that the sum of the first twice the second and three times the third is 124?
18, 20 and 22
FIND Three consecutive integers such that the sum of the second and the third is 17 Which equation would be used to solve this word problem?
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.
What is the sum of three consecutive integers if the sum of the first and third numbers is 33 less than 3 times the second number?
Their sum is 99.
How do you find consecutive integers?
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
Find three consecutive odd integers such that three times the middle integer is one more than the sum of the first and third?
-1, 1 and 3
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).
What are three consecutive integers such that the sum of five times the first six times the second and seven times the third is 148?
This doesn't work for integers. Using 7, 8 and 9 comes up with 146 which is the closest you can get.
