SOLUTION: One number is 3 more than 2 times the other, and their sum is 27. Find the numbers. The sum of 2 consecutive odd integers is 92. Find the numbers. One number is 800 less th

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Question 277644: One number is 3 more than 2 times the other, and their sum is 27. Find the numbers.

The sum of 2 consecutive odd integers is 92. Find the numbers.
One number is 800 less than 3 times the other, and their sum is 1,200. Find the numbers.


The length of a rectangle is 3 times the width, and the perimeter is 22. Find the dimensions of the rectangle. Width is___, Lenght is___

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Let one number be x
The other number is 3 more than 2x = 2x+3
x+2x+3=27
3x=27-3
3x=24
x=24/3
=8
The other number is 19

Let the width be x
the length = 3times the width = 3x

perimeter = 2x+2*3x
2x+6x=22
8x=22
x=22/8
x=2.75
Length = 3*2.75 =8.25











Let the odd number be x
The next odd number will be x+2
Their sum =92
x+x+2=92
2x+2-92
2x=92-2
2x=90
x=90/2
=45
the other number will be 47


Let the number be x
The other number is 800 less than 3times x
3x-800
x+3x-800=1200
4x-800 =1200
4x=1200+800
4x=2000/4
x=500
The other number 1200-500 = 700