document.write( "Question 437284: The sum of two numbers is 17. When the larger is divided by the smaller the quotient is 3 and the remainder is 1. Find the numbers. \n" ); document.write( "

Algebra.Com's Answer #302475 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the larger number = $\"a\"$
\n" ); document.write( "Let the smaller number = $\"b\"$
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"a+%2B+b+=+17+\"$
\n" ); document.write( "(2) $\"+a%2Fb+=+3+%2B+1%2Fb+\"$
\n" ); document.write( "----------------
\n" ); document.write( "Multiply both sides of (2) by $\"b\"$
\n" ); document.write( "(2) $\"+a+=+3b+%2B+1+\"$
\n" ); document.write( "Substitute this into (1)
\n" ); document.write( "(1) $\"+3b+%2B+1+%2B+b+=+17+\"$
\n" ); document.write( "(1) $\"+4b+=+16+\"$
\n" ); document.write( " $\"+b+=+4+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"a+%2B+b+=+17+\"$
\n" ); document.write( " $\"+a+=+13+\"$
\n" ); document.write( "The numbers are 4 and 13 \n" ); document.write( "

\n" );