document.write( "Question 568400: Two thirds of a number is seven more than one fifth of that number. Find the number. \n" ); document.write( "
Algebra.Com's Answer #366951 by Maths68(1474)\"\" \"About 
You can put this solution on YOUR website!
Let
\n" ); document.write( "x be the number\r
\n" ); document.write( "\n" ); document.write( "2/3(x)=1/5(x)+7
\n" ); document.write( "2x/3=x/5+7
\n" ); document.write( "2x/3-x/5=7
\n" ); document.write( "Take LCD
\n" ); document.write( "(2x(5)-x(3))/15=7
\n" ); document.write( "10x-3x=7*15
\n" ); document.write( "7x=105
\n" ); document.write( "7x/7=105/7
\n" ); document.write( "x=15\r
\n" ); document.write( "\n" ); document.write( "Two thirds of 15 is seven more than one fifth of 15.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Check
\n" ); document.write( "Two thirds of 15 = (2/3)(15)=30/3=10
\n" ); document.write( "seven more than one fifth of 15 = (1/5)(15)+7=15/5+7=3+7=10\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );