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?

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?      Log On


   



Question 83129: 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?
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
SORRY I SHOULD HAVE BEEN MORE EXPLICIT WITH THE ANSWER.
THE ANSWERS ARE 24 & 25.
--------------------------------------------------------------------------
3/5*(X+1)-1/2*X=3
(3X+3)/5-X/2=3
[2(3X+3)-5X]/10=3
(6X+6-5X)/10=3 NOW CROSS MULTIPLY
X+6=30
X=30-6
X=24 ANSWER FOR THE SMALLER INTERGER.
x+1=25 ANSWER FOR THE LARGER INTERGER.
---------------------------------------------------------------------------
PROOF
3/5*(24+1)-1/2*24=3
3/5(25)-12=3
15-12=3
3=3