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

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) (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

RELATED QUESTIONS
One number is 3 more than 2 times the other, and their sum is 27. what are the... (answered by bucky)

1) the sum of the squares of 2 consecutive positive odd number is 103 greater than their... (answered by josgarithmetic)

The sum of the square of two consecutive odd integers is 2 more than 6 times their sum.... (answered by stanbon)

Find 2 consecutive odd integers such that their sum is 9 more than 3 times the... (answered by Fombitz)

There lot of questions: 1. find four consecutive odd numbers such that four times the... (answered by nyc_function)

1.the sum of two is 5 times their difference.if one exceeds the other by 7,what are the... (answered by thinkingeye)

find three consecutive odd integers such that 3 times their sum is 5 more than 8 times... (answered by ewatrrr)

Find the consecutive odd integers such that the sum of the smallest number and middle... (answered by josgarithmetic,ikleyn)

can you guys help me again.... 2. Five times the first of two consecutive integers... (answered by greenestamps,josgarithmetic)