Question

One number is 3 times another. If the sum of their reciprocals is 92 , find the two numbers.

Answer 1

if one is \(x\) the the other is \(3x\)
the sum of their reciprocals is
\[\frac{1}{x}+\frac{1}{3x}=\frac{4}{3x}\]

Answer 2

set
\[\frac{4}{3x}=92\] and solve for \(x\)