Question 581846
Call the numbers {{{a}}} and {{{b}}}
given:
{{{ a/b = 8/5 }}}
{{{ a - b = 24 }}}
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{{{ a/b = 8/5 }}}
{{{ 5a = 8b }}}
{{{ a = (8/5)*b }}}
{{{ (8/5)*b - b = 24 }}}
{{{ b*( 8/5 - 5/5 ) = 24 }}}
{{{ (3/5)*b = 24 }}
{{{ b = (5/3)*24 }}}
{{{ b = 40 }}}
and
{{{ a - b = 24 }}}
{{{ a - 40 = 24 }}}
{{{ a = 64 }}}
The numbers are 64 and 40
check:
{{{ a/b = 8/5 }}}
{{{ 64/40 = 8/5 }}}
{{{ 5*64 = 8*40 }}}
{{{ 320 = 320 }}}
OK