document.write( "Question 146103: a number is 7 less than another, if 4 times the smaaler number plus twice the larger is 46. find the two numbers? \n" ); document.write( "

Algebra.Com's Answer #106651 by ptaylor(2198) $\"\"$ $\"About$

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\n" ); document.write( "Let x=larger number
\n" ); document.write( "Then 2x=twice the larger number
\n" ); document.write( "And let x-7=smaller number
\n" ); document.write( "Then 4(x-7)=four times the smaller number\r
\n" ); document.write( "\n" ); document.write( "Now we are told that;\r
\n" ); document.write( "\n" ); document.write( "4(x-7)+2x=46 get rid of parens (distributive law)\r
\n" ); document.write( "\n" ); document.write( "4x-28+2x=46 add 28 to both sides
\n" ); document.write( "4x-28+28+2x=46+28 collect like terms
\n" ); document.write( "6x=74
\n" ); document.write( "x= 12 1/3-------------larger number
\n" ); document.write( "x-7=(12 1/3)-7=5 1/3----------------smaller number\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "2*(12 1/3)+4*(5 1/3)=46
\n" ); document.write( "2*(37/3)+4(16/3)=46
\n" ); document.write( "74/3+64/3=46
\n" ); document.write( "138/3=46
\n" ); document.write( "46=46\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r
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