document.write( "Question 169043: I'm desperately trying to help my 8th grade daughter with this, & my 45-year-old math skills are lacking. Hope you can help.\r
\n" ); document.write( "\n" ); document.write( "Use algebraic techniqies to solve the problem:
\n" ); document.write( "The sum of 2 numbers is 68. If the larger number is divided by the smaller, the quotient is 7 and the remainder is 4. What is the larger number?\r
\n" ); document.write( "\n" ); document.write( "Thanks, in advance.
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Algebra.Com's Answer #124667 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Try this:
\n" ); document.write( "Let a be the larger number and b the smaller number.
\n" ); document.write( "From the problem description, you have:
\n" ); document.write( "1) \"a%2Bb+=+68\" \"The sum of the two numbers is 68.\" and ...
\n" ); document.write( "2) \"a%2Fb+=+7\"+\"4%2Fb\" \"If the larger number is divided by the smaller number, the quotient is 7 with a remainder of 4\"
\n" ); document.write( "Rewrite equation 2) as:
\n" ); document.write( "\"a+=+7b%2B4\" and substitute this into equation 1)
\n" ); document.write( "\"%287b%2B4%29%2Bb+=+68\" Simplify.
\n" ); document.write( "\"8b%2B4+=+68\" Subtract 4 from both sides.
\n" ); document.write( "\"8b+=+64\" Divide both sides by 8.
\n" ); document.write( "\"b+=+8\" and
\n" ); document.write( "\"a+=+7b%2B4\"
\n" ); document.write( "\"a+=+7%288%29%2B4\"
\n" ); document.write( "\"a+=+56%2B4\"
\n" ); document.write( "\"a+=+60\" The larger number is 60 and the smaller number is 8.
\n" ); document.write( "Check:
\n" ); document.write( "\"a%2Bb+=+60%2B8\"=\"68\" Ok!
\n" ); document.write( "\"a%2Fb+=+60%2F8\"=\"7%2B4%2F8\" or 7 + remainder of 4\r
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