Need help with writing a mathematical model for word problem

[lake]

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

 

[scrum]

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

I would write that as

abs((1/x) - (1/x+1)) = (1/4)(1/x)

but I may be wrong.

 

[stapel]

I would write that as

abs((1/x) - (1/x+1)) = (1/4)(1/x)

Since x + 1 is larger than x, then 1/(x + 1) is smaller than 1/x, and the absolute-value bars are not necessary.

Otherwise, your set-up is fine.

Eliz.