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?
My initial response is: 3/5x-1/2x+1
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Question 100063: 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?
My initial response is: 3/5x-1/2x+1=3. I know its wrong but I can't find any help in this text book.
Found 2 solutions by edjones, scott8148:
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
let the integers be: x, x+1
Multiply 10 times each side: 6(x+1)-5x=30
6x+6-5x=30
x+6=30
subtract 6 from each side: x=24
x+1=25
Check:
(3/5)25-(1/2)24=3
15-12=3
Ed
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
your equation is slightly garbled
one-half of one integer ... x/2
is subtracted from three-fifths of the next consecutive integer ... 3/5(x+1)-(x/2)
the difference is 3 ... (3x/5)+(3/5)-(x/2)=3
multiplying by 10 gives 6x+6-5x=30 ... x=24 ... x+1=25