SOLUTION: The greater of two consecutive even integers is 12 less than twice the greater. What are the integers? Question 2- two bags of flour have a total weight of 27 pounds. If a 1 po

Algebra ->  Finance -> SOLUTION: The greater of two consecutive even integers is 12 less than twice the greater. What are the integers? Question 2- two bags of flour have a total weight of 27 pounds. If a 1 po      Log On


   

Question 997952: The greater of two consecutive even integers is 12 less than twice the greater. What are the integers?
Question 2- two bags of flour have a total weight of 27 pounds. If a 1 pound bag is added to the heavier bag and a 1 pound is removed from the lighter bag, the heavier bag will weigh twice as much as the lighter bag. What does the heavier bag weigh?
Found 2 solutions by solver91311, addingup:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the smaller of two consecutive even integers. Then must represent the greater. We are given that



Solve for , then calculate

John

My calculator said it, I believe it, that settles it

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
x= 2x-12 You do not have enough information to solve.
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x+y= 27 Subtract y from both sides:
x= 27-y
27-y+1= 2y-1 Add on left:
28-y= 2y-1 Add 1 and add y on both sides:
29= 3y Flip around, it's more elegant:
3y= 29 Divide both sides by 3:
y= 9.67
x= 27-y
x= 27-9.67
x= 17.33 is the weight of the heavier bag.