Question 155993
Call your numbers A and B.
1.{{{AB=676}}}
2.{{{A/B=4}}}
From eq. 2, 
2.{{{A/B=4}}}
{{{A=4B}}}
Substitute that into eq. 1,
1.{{{AB=676}}}
{{{(4B)B=676}}}
{{{4B^2=676}}}
{{{B^2=169}}}
{{{B=13}}} or {{{B=-13}}}
From eq. 2,
{{{A=4B}}}
{{{A=4(13)}}} or {{{A=4(-13)}}}
{{{A=52}}} or {{{A=-52}}}
Two solutions,
(13,52) or (-13,-52).