Question 5377
Find a common denominator:

Let x = the amount of the estate
The total estate = 
{{{x/4}}}=amount left to wife (1/4 of the estate)
{{{2x/5}}}=amount left to sons (2 sons at 1/5 of estate)
{{{x/8}}} = amount left to daughter (1/8 of the estate)

so then we know that :
{{{x/4 + 2x/5 + x/8 +32,000 = x}}}

Find a common denominator and solve for x:

{{{10x/40 + 16x/40 + 5x/40 + 32000 = x}}}
{{{31x/40 + 32000 = x}}}
{{{32000=x-31x/40}}}
{{{32000 = 9x/40}}}
Multiply both sides by {{{40/9}}}
142222=x