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Anonymous Posted on Oct 09, 2014

There are three consecutive integers.nine times

There are three consecutive integers.nine times the sum of the second and third numbers six hindred fiftey-one more than six times the first number. what are the integers?

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kakima

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  • Office Equip... Master 102,366 Answers
  • Posted on Oct 09, 2014
kakima
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Anonymous

  • 38 Answers
  • Posted on Sep 15, 2011

SOURCE: Two consecutive even integers such that the

We'll call x the smaller integer and y the larger. So we know x+3y=22. We can rearrange this to say:
x=22-3y. Now we guess, I'll guess y=6, now we solve and get x=22-3(6)=4. 4 and 6 are two even consecutive integers! So the answer is 4 and 6.

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Related Questions:

0helpful
1answer

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
0helpful
1answer

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






0helpful
1answer

Consecutive even integers

38.
The three numbers are 34, 36, and 38.
0helpful
1answer

Sum of consecutive positive integers

Here's a simple (and inefficient) 35s program. It simply goes through a loop 25 times, adding up the numbers.

A001 LBL A
A002 25
A003 STO A
A004 0
A005 RCL+ A
A006 DSE A
A007 GTO A005

The sum of the first N positive integers can be calculated more efficiently as N(N+1)/2 .
6helpful
1answer

Consecutive even integers

The two numbers are 32 and 34. The rest is your homework, you do it.
0helpful
2answers

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
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