Question 937702
3 yrs ago she was {{{ k - 3 }}}
In 4 yrs, she will be {{{ k + 4 }}}
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{{{ (1/2)*( k - 3 ) = (1/3)*( k + 4 ) }}}
Multiply both sides by {{{ 6 }}}
{{{ 3*( k - 3 ) = 2*( k + 4 ) }}}
{{{ 3k - 9 = 2k + 8 }}}
{{{ k = 17 }}}
Lucy is 17
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check the answer:
{{{ (1/2)*( 17 - 3 ) = (1/3)*( 17 + 4 ) }}}
{{{ (1/2)*14 = (1/3)*21 }}}
{{{ 7 = 7 }}}
OK