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 #124668 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
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?
\n" ); document.write( "Thanks, in advance.
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\n" ); document.write( "b = big number
\n" ); document.write( "s = small number
\n" ); document.write( "b+s = 68
\n" ); document.write( "b/s = 7 with rem 4 means that 7*s + 4 = b
\n" ); document.write( "b = 7s+4
\n" ); document.write( "Substitute for b in the 1 equation
\n" ); document.write( "b+s = 68
\n" ); document.write( "7s+4 + s = 68
\n" ); document.write( "8s + 4 = 68
\n" ); document.write( "8s = 64
\n" ); document.write( "s = 8, so
\n" ); document.write( "b = 60 That's what was asked for.
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