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?

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Question 71445: 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 Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Let the first integer be x. The next consecutive integer is (x+1). From the problem description you can write:
Simplify and solve for x.
Subtract the fractions on the left side. The LCD is 10.
Multiply both sides by 10 and simplify.
Subtract 6 from both sides.
and
The two consecutive integers are: 24 and 25

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