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Find three consecutive odd integers whose sum is 513

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Posted on Jan 02, 2017

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SOURCE: find three consecutive odd integers such that

Hi,

Let's say your 3 numbers are a, b and c. Because they are consecutive and odd, you can write them like this:

a = 2x-1, b = 2x+1, c = 2x+3

Now, your problem looks like this:

2(2x-1)(2x+1) = (2x+1)(2x+3) + 7
2(4x^2-1) = 4x^2+6x+2x+3 + 7
8x^2-2 = 4x^2+8x+10
4x^2-8x-12 = 0
4(x^2-2x-3) = 0
x^2-2x-3 = 0

The solutions for this quadratic equation ( see more about this kind of equations here: http://en.wikipedia.org/wiki/Quadratic_equation ) are x=3 or x=-1. So, you've got two sets of solutions:

[1] a = 5, b = 7, c = 9
[2] a = -3, b = -1, c = 1


Take care,
Alex

Posted on Oct 19, 2009

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SOURCE: what are the three consecutive integers whose sum

Let X be the lowest of the 3 integers
The sum of the 3 integers can be represented as X + (X+1) + (X+2).
Set this sum equal to 378 and solve for X.
X + (X+1) + (X+2) = 378
3X + 3 = 378
3X = 375
X = 125
Since X is the lowest of the 3 integers the other 2 will be X+1 and X+2 or 126 and 127.

Therefore, the answer is 125, 126 and 127

Posted on Jan 28, 2011

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SOURCE: find three consecutive odd integers whose sum is

if the product of two consecutive odd integers is decreased by 3, the result is 12. find the integers

Posted on Sep 21, 2011

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The Sum of 2 integers from 1 to 9 that are four consecutive numbers. Show that either one or three of the numbers on the counters were even


I need some help here. If we take the sum of 2 integers from 1 to 9, and they can be the same number, the maximum number is 18. I don't know how you are supposed to get four consecutive digits, unless you pad the number with zeros. Am I missing something?

Good luck,

Paul

May 29, 2016 | Office Equipment & Supplies

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The numbers on three raffle tickets are consecutive integers whose sum is 7530. find the integers


The integers of the numbers on three raffle tickets are consecutive integers whose sum is 7,530 are 2509, 2510, and 2511.

Feb 24, 2015 | SoftMath Algebrator - Algebra Homework...

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Find the smallest two consecutive even integers such that three times the smaller is at least 19 more than the sum of the two integers


Let x be the smallest number.
Let x + 2 be the other number (consecutive even integer)

Now to translate the rest;)
three times the smaller 3(x)
19 more -19
sum of the two integers - (x) +( x+2)

Pulling it together,
3x -19 = x + x +2
collect like terms
3x - 19 = 2x + 2
Put all the constants on one side by adding 19 to both sides.
3x - 19 +19= 2x + 2 + 19
3x = 2x +21
Subtract 2x from both sides to have all the x's on one side.
3x - 2x = 2x +21 - 2x
x = 21
The other number is 21 + 2, or 23
Check:three times the smaller = 3 x 21 = 63
sum of the two integers = 21 + 23 or 44
is 63 at least 19 more than 44






Feb 19, 2015 | Office Equipment & Supplies

1 Answer

Consecutive odd integers


83+85+87+89=344

Jul 05, 2014 | Plumbing

1 Answer

Consecutive even integers


38.
The three numbers are 34, 36, and 38.

Jun 03, 2014 | Office Equipment & Supplies

1 Answer

Consecutive even integers


The two numbers are 32 and 34. The rest is your homework, you do it.

Dec 19, 2013 | Office Equipment & Supplies

2 Answers

Find three consecutive odd integers whose sum is 105


X + ( X + 2 ) + ( X + 4 ) = 105
3X + 6 = 105
3X = 105 - 6
3X = 99
X = 99/3
X = 33
So 33 + 35 + 37 = 105

Oct 06, 2010 | American Standard Plumbing

1 Answer

What are the three consecutive integers whose sum is 378?


Let X be the lowest of the 3 integers
The sum of the 3 integers can be represented as X + (X+1) + (X+2).
Set this sum equal to 378 and solve for X.
X + (X+1) + (X+2) = 378
3X + 3 = 378
3X = 375
X = 125
Since X is the lowest of the 3 integers the other 2 will be X+1 and X+2 or 126 and 127.

Therefore, the answer is 125, 126 and 127

Aug 23, 2010 | SoftMath Algebrator - Algebra Homework...

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Can I hold DHHS accountable for the burden they put upon me? If not, is there someone that can be held accountable? What can I logically and honestly do to remedy this prob. I explained my prob below! I was getting QMB part of Mainecare and my spouse at the time we were dating but living together was getting the QI part of Mainecare. We are both disabled and only get SSDI. However being honest and do our best to always do the right thing we go to DHHS office on Griffin RD in Bangor, ME within a month of us getting married where the worker we saw tells us we don't qualify for anything but the min of FS and both Q1 part of Mainecare and serious voice tells us to divorce. I have made a few trips within last months to same DHHS. One sends us to Eastern Area of Aging to see if there were secondaries we can get. This past Monday hubby and I went to our appt with Eastern Area of Aging & was told they strongly believe I could get spousal exclusion also warning it could mean my hubby loses help but because it was a volunteer a newer one at that she couldn't tell me definitely cause she didn't know the formula as she still learning; tells us to go back to DHHS to ask about spousal exclusion. So I go back to DHHS this past Thurs and got a worker with more smarts, heart with approx 10 yrs working for DHHS tells me I qualify for spousal exclusion and took the time to answer all my questions. I told her I had QMB till hubby and I married June 2016 & shared with her what the DHHS worker told us when hubby and I went in to show marriage certificate to update the change. She looked at me with shocked eyes and dropped jaw in bewilderment. Then says I would of never lost it as I would of qualified for spousal exclusion from the day we married. And had it been her that we got when we were being honest wouldn't have only told me about spousal exclusion but would of applied me as she could see I have major medical problems that is too much a financial burden for my hubby and I. She also told me I was to submit all unpaid bills even if monthly making payments were being made. I thought I was only to submit bills I paid in full or on a payment plan. So started Thurs night on a Medical Bills Tracker to go through all the medical bills and sort things out. I haven't even put a dent in the pile and see I'm responsible for just over 6K I'm predicting once done I could be closer, if not over, 10K. In collections is currently 1K but once done with pile amount in collections could be closer to 2K or more. So the mess has impacted my credit and if things were done by professionals I wouldn't be losing my hair stressing over my medical bills and how it declines my credit. I know I'm in a small group that actually pay their medical bills any and all bills to be honest! I am disabled and get SSDI. Worked 1992-2013 a lot of times working 2 jobs! Dr in 2013 practically dragged me out of work as was just diagnosed with Hep C, CKD Stage 3 & liver disease! I also have depression disorder, panic attacks, anxiety disorder! So even this incompetent DHHS worker putting extra financial burden on me unnecessarily affects those things. I am trying to do the right thing but get kicked down by the very people that are paid to help me. What are my rights and can I fix this at a faster pace then not even fixed it by the day I die?

Jun 23, 2018 | Major Computers & Internet

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