Question 433852
One number is five times as larger as another.
 The sum of their reciprocals is 3/5.
 What are the numbers?
:
Let x = "one number"
then
5x = "another number"
:
{{{1/x + 1/(5x)}}} = {{{3/5}}}
Multiply by 5x to clear the denominators, results:
5 + 1 = 3(x)
3x = 6
x = 2 is one number
and
5(2) = 10 = another number
:
:
Check 
{{{1/2 + 1/10}}} = {{{3/5}}}
{{{5/10 + 1/10}}} = {{{6/10}}}