Posted by Courtney on .
Find two consecutive numbers such that the difference of their reciprocals is 1/4 the reciprocal of the small number.

College Algebra 
Reiny,
let the two numbers be x and x+1
then 1/x  1/(x+1) = 1/4(1/x)
multiply by 4x(x+1)
4(x+1)  4x = x + 1
x = 3
So the two numbers are 3 and 4
Check: 1/3  1/4 = 1/12
1/4 of 1/3 = 1/12