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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)=171

x+x+1+x+2=171

3x+3=171

3x=168

x=168/3

x=56

Since x=56, x+1=57 and x+2=58

So the three numbers are 56,57,and 58

You 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)=171

x3+3x2+2x=171

I'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 equations

y=x3+3x2+2x

y=171

and 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.

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โˆ™ 2010-04-05 03:11:15
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Q: What are three consecutive integers that equal 171?
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Related questions

The sum of three consecutive odd integers is 171?

56+57+58=171


What are three consecutive integers whose sum is 171?

The numbers are 56, 57 and 58.


What are two consecutive positive integers that is 340?

There are two consecutive odd integers whose sum is 340. They are 169 and 171.


What is the two consecutive integers of the sum -171?

85 & 86 85 & 86


If a sum of a particular set of 3 consecutive positive integers is a 3mdigit palindrome and the sum is less than 220 what is the greatest possible value for the largest of the 3 integers in the set?

The answer is 58. 56+57+58 = 171 171 is the largest palindrome less than 220 that can be divided by three. Further palindromes are: 181, 191, 202 and 212.


The sum of two consecutive positive even integers is 340 what are the integers?

There are no such integers. Proof: choose any positive whole number x two consecutive even integers: (2x) (2x+2) Take the sum (2x)+(2x+2) (2x)+(2x+2)=340 4x+2=340 4x=338 x=338/4=84.5 Since this is not a whole number, there is no whole number that satisfies the conditions. (There are two consecutive odd integers which add up to 340: 169 and 171)


What college basketball team has the most consecutive sellouts?

Currently Kansas has 171 consecutive sell outs as of 12/11/2011.


What multiples of 9 equal 171?

9 x 19 = 171


What is 171 divided by 42?

4.0714


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57 yards is 171 feet @three feet per yard.


How many inches does 171 cm equal?

Answer: 171 cm = 67.3228 in


Can 3 go into 171?

Yes. 171 is evenly divisible by three. (3 x 57 = 171).


How do you Add 2 to 171 to make it less than 18?

In the ring of 173-adic integers.


How many meters are there in 171 centimeters?

There are 100 centimetres in one metre. Therefore, 171 centimetres is equal to 171/100 = 1.71 metres.


How many meters are there in 171 feet?

There are 0.3048 metres in one foot. Therefore, 171 feet is equal to 171 x 0.3048 = 52.1208 metres.


How many feet 171 meters equal?

Answer: 171 m = 561.023 ' OR 561 ' and 0.28 "


How much 171 square meter is equal to square yards?

171 square meters are 204.514298 square yards.


How many inches are there in 171 centimeters?

There are 2.54 centimetres in one metre. Therefore, rounded to two decimal places, 171 centimetres is equal to 171/2.54 = 67.32 inches.


How many feet are there in 171 centimeters?

There are 30.48 centimetres in one foot. Therefore, rounded to two decimal places, 171 centimetres is equal to 171/30.48 = 5.61 feet.


What are the the factors of 171?

1*171 3*57 9*19 So the factors of 171 are 1, 3, 9, 19, 57 and 171. Above, you can see how these factors are paired up to equal 171.


What two factors equal 171?

171 and 1 57 and 3 19 and 9


What is 4.75 yard equal in inches?

171 inches.


What two numbers equal 171?

There are an infinite amount of answers to that, if you use addition. In terms of its factor pairs, then the follow all equal 171: 1 x 171 3 x 57 9 x 19


How many feet does 171 cm equal?

5.61 feet.


What does sixty eight-onehundred seventyone equal?

68-171 = -103