Question 818855
ratio {{{ x/y=8/5 }}} eq. 1
{{{ x-y=24}}} eq.2

Manipulate eq. 1
{{{ x/y=8/5 }}}
{{{ cross (y)(x/cross (y))=(8/5)y }}}
{{{ x=8y/5 }}} eq. 3

Substitute eq. 3 to eq 2

{{{ (8y/5)-y=24 }}}
{{{ 5*((8y/5)-y)=(24)*5  }}}
{{{ 8y-5y=120  }}}
{{{ 3y=120  }}}
{{{ 3y/3=120/3 }}}
{{{ y=40  }}}

{{{ x=8(40)/5  }}}
{{{ x=320/5  }}}
{{{ x=64 }}}

Final Answer:

The numbers are {{{ highlight (64) }}} and {{{ highlight (40) }}}