SOLUTION: 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? Be sure in the right hand column to giv

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 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? Be sure in the right hand column to giv      Log On


   

Question 65326: 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? Be sure in the right hand column to give the final answer expressed as both numbers.
Note: Must use algebra and rational expressions to solve this problem.
Answer by stanbon(75887) About Me  (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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Let the integers be x and x+1.
EQUATION:
(3/5)(x+1)-(1/2)x=3
Multiply thru by 10 to get:
6(x+1)-5x=30
6x+6-5x=30
x=24 (smaller integer)
x+1=25 (next consecutive integer)
Cheers,
Stan H.