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

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Question 86457This question is from textbook
: If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the sum is 3. What are the two integers?
Thank you! This question is from textbook

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=one integer
1/2 of one integer=(1/2)(x) or x/2
Then x+1=next consecutive integer
3/5 of the next consecutive integer=(3/5)(x+1)
Now we are told that:

(3/5)(x+1)-x/2=3 multiply each term by 10 to get rid of fractions
(Note: (3/5)(x+1) is one term. When we multiply it by 10, we get:(3/5)(10)(x+1) and this equals %28%283%29%2810%29%2F5%29%28x%2B1%29 and this equals %28%283%29%282%29%29%28x%2B1%29 and this equals 6(x+1))
6(x+1)-5x=30 get rid of parens
6x+6-5x=30 subtract 6 from both sides
x=24--------------------------------one integer
x+1=24+1=25------------------------------------next consecutive integer
CK

6x+6-6-5x=30-6 collect like terms
3/5(25)-1/2(24)=3
15-12=3
3=3
Hope this helps------ptaylor