SOLUTION: The sum of the reciprocals of two consecutive odd integers is 8/15 (which is a fraction). What are the integers?

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Question 181777This question is from textbook Algebra
: The sum of the reciprocals of two consecutive odd integers is 8/15 (which is a fraction). What are the integers? This question is from textbook Algebra

Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
1/x+1/(x+2)=8/15

(x+2+x)/(x(x+2))=8/15

30x+30=8x^2+16x

8x^2-14x-30=0

2(4x+5)(x-3)=0

4x+5=0 ---> x=-5/4=-1.25 (ignore, not an integer)
or
x-3=0 ----> x=3

1st Num: 3
2nd Num: 3+2=5

Two numbers: 3 and 5

Check:
1/3+1/5=5/15+3/15=8/15