SOLUTION: Number problem. 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? Please help me.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Number problem. 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? Please help me.       Log On


   

Question 29429: Number problem. 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?
Please help me.
Thank you.
Found 2 solutions by josmiceli, Paul:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2F5%29%2A%28n+%2B1%29+-n%2F2+=+3
multiply both sides by 10
2%2A3%2A%28n%2B1%29+-+5%2An+=+30
6%2An+%2B+6+-5%2An+=+30
n+=+24
n%2B1+=+25
check
%283%2F5%29%2A%2824+%2B1%29+-24%2F2+=+3
15+-+12+=+3
OK

Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
LEt the 2 consecutive integers be x, and x+1

EquatioN:

3%28x%2B1%29%2F5-x%2F2=3
Multiply the whole equation by 10

10%28%283x%2B3%29%2F5%29-10%28x%2F2%29=10%283%2F1%29
2(3x-3)-5(x)=10(3)
6x-5x+6=30
x=24
x=24

24+1=25

Check:
24/2-15=3
12-15=3
3=3

Hence, the two whole integers are 24 and 25.