SOLUTION: I am having trouble with this word problem could I please get some help? If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the differ

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Question 98614: I am having trouble with this word problem could I please get some help?
If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers?
Any help would be appreciated. Thank you.
Found 2 solutions by stanbon, Nate:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers?
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The consecutive integers are x and (x+1)
EQUATION:
(3/5)(x+1)-x = 3
Multiply both sides by 5 to get:
3(x+1)-5x = 15
3x+3-5x = 15
-2x = 12
x = -6 (one of the integers)
x+1 = -5 (the other integer)
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Cheers,
Stan H.

Answer by Nate(3500) (Show Source):
You can put this solution on YOUR website!
one integer = x
consecutive integer = x + 1
POSITIVE
(3/5)(x + 1) - (1/2)(x) = 3
(3)(x + 1) - (5/2)(x) = 15
(6)(x + 1) - (5)(x) = 30
6x + 6 - 5x = 30
x = 24
Integers = 24 and 25