SOLUTION: If one-half of one integer is subtracted from three-fifths of the next consecutive, the diffence is 3. What are the two integers? Thanks!

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Question 41862This question is from textbook
: If one-half of one integer is subtracted from three-fifths of the next consecutive, the diffence is 3. What are the two integers?
Thanks! This question is from textbook

Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
FIrst interger = x
Consecutive = x+1
EQUATION
%283%28x%2B1%29%29%2F5-x%2F2=3
%283x%2B3%29%2F5-x%2F2=3
Common multiple = 30
30%28%283x%2B3%29%2F5%29-30%28x%2F2%29=30%283%29
6%283x%2B3%29-15%28x%29=90
18x+18-15x=90
3x=72
x=24
24+1=25
Hence, the two integers 24 and 25.
Paul.