Question 1170063
June and Kevin have some cards. 

let’s say June have {{{x}}} cards and Kevin have {{{y}}} cards

if June gives Kevin half her cards Kevin will have 72 more cards than June

{{{y-72=x-x/2}}}

{{{y=x/2+72}}}....eq.1


 if June gives Kevin one sixth of her cards Kevin will have 16 less cards than June


{{{y+16=x-x/6}}}

 {{{y=5x/6-16}}}...eq.2


from eq.1 and eq.2 we have


{{{x/2+72=5x/6-16}}}......both sides multiply by {{{6}}}
{{{16+72=5x/6-x/2}}}
{{{88=5x/6-3x/6}}}
{{{88=2x/6}}}
{{{88=x/3}}}
{{{ x=88*3}}}
{{{ x=264}}}


{{{y=x/2+72}}}....eq.1, substitute {{{ x=168}}}
{{{y=264/2+72}}}
{{{y=132+72}}}
{{{y=204}}}


June have {{{264}}} cards and Kevin have {{{204}}} cards