Question 574170
Let x be the number
one-fifth of x={{{(1/5)x=x/5}}}
one-third of  x = {{{(1/3)x=x/3}}}


The sum is 24.
{{{x/5+x/3=24}}}
Take LCD
{{{(3x+5x)/15=24}}}
{{{8x/15=24}}}
{{{(15)(8x/15)=(24)(15)}}}
{{{cross(15)(8x/cross(15))=360}}}
{{{8x=360}}}
{{{8x/8=360/8}}}
{{{cross(8)x/cross(8)=cross(360)/cross(8)}}}
{{{x=45}}}


Number is 45



Check
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{{{(45)(1/5)+(45)(1/3)=24}}}
{{{cross(45)(1/cross(5))+cross(45)(1/cross(3))=24}}}
{{{9+15=24}}}
{{{24=24}}}