Question 936979
Let {{{ n ]]] = number of years ago when
( man's age ) / ( wife's age ) was {{{ 4/3 }}}
-------------------
{{{ ( 55 - n ) / ( 45 - n ) = 4/3 }}}
Multiply both sides by {{{ 3*( 45 - n ) }}}
{{{ 3*( 55 - n ) = 4*( 45 - n ) }}}
{{{ 165 - 3n = 180 - 4n }}}
{{{ n = 180 - 165 }}}
{{{ n = 15 }}}
15 years ago the ratio of their ages was 4:3
check:
15 yrs ago, man's age was: {{{ 55 - 15 = 40 }}}
15 yrs ago wife's age was: {{{ 45 - 15 = 30 }}}
{{{ 40 / 30 = 4/3 }}}
OK