SOLUTION: what are the 2 consecutive odd integers who's difference of the squares is 24

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: what are the 2 consecutive odd integers who's difference of the squares is 24      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 135568: what are the 2 consecutive odd integers who's difference of the squares is 24
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
To make sure a number is odd, call it 2n+%2B+1 where n
is any number. Consecutive odd numbers are
2n+%2B+1, 2n+%2B+3
%282n+%2B+3%29%5E2+-+%282n+%2B+1%29%5E2+=+24
4n%5E2+%2B+12n+%2B+9+-+4n%5E2+-+4n+-+1+=+24
8n+%2B+8+=+24
8n+=+16
n+=+2
2n+%2B+1+=+5
2n+%2B+3+=+7
The numbers are 5 and 7
check:
7%5E2+-+5%5E2+=+49+-+25
49+-+25+=+24
24+=+24
OK