Question 178004
Let {{{a}}}= the total acres of land
{{{(1/2)*a + (1/3)*a + (1/9)*a + 1 = a}}}
Multiply both sides by {{{2*3*9}}}
{{{3*9*a + 2*9*a + 2*3*a + 2*3*9 = 2*3*9*a}}}
{{{27a + 18a + 6a + 54 = 54a}}}
{{{54a - 27a - 18a - 6a = 54}}}
{{{54a - 51a = 54}}}
{{{3a = 54}}}
{{{a = 18}}}
The oldest child gets {{{18/2 = 9}}} acres
The 2nd child gets {{{18/3 = 6}}} acres
The youngest gets {{{18/9 = 2}}} acres
{{{9 + 6 + 2 = 17}}}
There is {{{18 - 17 = 1}}} acre left for the Mother