SOLUTION: two consecutive odd integers are such that one-third the smaller one is greater than two thirds of the smaller one by 2.determine the numbers.

Algebra.Com
Question 696600: two consecutive odd integers are such that one-third the smaller one is greater than two thirds of the smaller one by 2.determine the numbers.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
two consecutive odd integers are such that one-third the smaller one is greater than two thirds of the larger one by 2.determine the numbers.
---------
1st: 2x-1
2nd: 2x+1
--------------------
Equation:
(1/3)(2x-1) > (2/3)(2x+1) + 2
----
Multiply both sides by 3 to get:
2x-1 > 2(2x+1) + 2
----
2x-1 > 4x+4
----
Subtract 2x from both sides
Subtract 4 from both sides
-----------
2x < -5
---
Divide by 2
x < -5/2
=================
Cheers,
Stan H.
-----

RELATED QUESTIONS

two consecutive odd integers are such, that one-third the smaller one is greater than... (answered by checkley79)
Two consecutive odd integers are such that one third the smaller one is greater than... (answered by josgarithmetic,MathTherapy)
1.find two consecutive odd integers if the larger is four less than one third the... (answered by josgarithmetic)
Two consecutive even numbers are such that one quarter of the smaller one is smaller than (answered by josgarithmetic)
Find two consecutive odd integers such as the smaller one is 12 more than one-third the... (answered by CubeyThePenguin)
Find two consecutive odd intgers such that the smaller one is sixteen more than one third (answered by stanbon)
There are two consecutive odd numbers such that twice the smaller number plus one is ten... (answered by Gogonati)
find two consecutive odd integers if the larger is four less than one third the... (answered by Boreal,josgarithmetic)
The greater of two consecutive odd integers is one less than twice the smaller. Find the (answered by sudhanshu_kmr)