document.write( "Question 989983: please help me answer this question:\r
\n" ); document.write( "\n" ); document.write( "the difference between two numbers is 16. three times the larger number is seven times the smaller. what are the numbers? \n" ); document.write( "

Algebra.Com's Answer #610125 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = the larger number
\n" ); document.write( "Let $\"+b+\"$ = the smaller number
\n" ); document.write( "-------------------------------
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+-+b+=+16+\"$
\n" ); document.write( "(2) $\"+3a+=+7b+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "You have 2 equation with 2 unknowns, so
\n" ); document.write( "it is solvable
\n" ); document.write( "--------------------
\n" ); document.write( "Add $\"+b+\"$ to both sides of (1)
\n" ); document.write( "(1) $\"+a+=+b+%2B+16+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+3%2A%28+b+%2B+16+%29+=+7b+\"$
\n" ); document.write( "(2) $\"+3b+%2B+48+=+7b+\"$
\n" ); document.write( "Subtract $\"+3b+\"$ from both sides
\n" ); document.write( "(2) $\"+4b+=+48+\"$
\n" ); document.write( "(2) $\"+b+=+12+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+=+b+%2B+16+\"$
\n" ); document.write( "(1) $\"+a+=+12+%2B+16+\"$
\n" ); document.write( "(1) $\"+a+=+28+\"$
\n" ); document.write( "The larger number is 28
\n" ); document.write( "The smaller number is 12
\n" ); document.write( "-----------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+a+-+b+=+16+\"$
\n" ); document.write( "(1) $\"+28+-+12+=+16+\"$
\n" ); document.write( "The difference is 16
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+3a+=+7b+\"$
\n" ); document.write( "(2) $\"+3%2A28+=+7%2A12+\"$
\n" ); document.write( "(2) $\"+84+=+84+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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