Question 168234
Let's call the number X.
"One-third of a number"
{{{(1/3)X}}}
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"is" means equals.
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"8 less than one-helf of the number"
{{{(1/2)X-8}}}
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Put it all together.
{{{(1/3)X=(1/2)X-8}}}
Multiply both sides by {{{3*2}}} to get rid of denominators.
{{{cross(3)*2*(1/(cross(3)))X=3*cross(2)*(1/(cross(2)))X-3*2*8}}}
{{{2X=3X-48}}}
{{{0=X-48}}}
{{{X=48}}}
Your number is 48.