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. \n" ); document.write( "
Algebra.Com's Answer #124670 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
Let x=larger number
\n" ); document.write( "And y=the smaller number\r
\n" ); document.write( "\n" ); document.write( "Now we are told the following:
\n" ); document.write( "x+y=68-------------------------------eq1
\n" ); document.write( "x/y=7+4/y multiply each term by y
\n" ); document.write( "x=7y+4 ------------------------------------eq2\r
\n" ); document.write( "\n" ); document.write( "Substitute eq2 into eq1 and we get:
\n" ); document.write( "7y+4+y=68 subtract 4 from each side
\n" ); document.write( "8y=68-4=64 divide each side by 8
\n" ); document.write( "y=8-----------------------------the smaller number
\n" ); document.write( "Substitute y=8 into eq1:
\n" ); document.write( "8+y=68 subtract 8 from each side:
\n" ); document.write( "y=60------------------------larger number\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "60/8=7 with a remainder of 4 or 7+4/8=7 1/2\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor
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