document.write( "Question 185238: I need to solve the following word problem, I have to show the equation I use for the solution.\r
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\n" ); document.write( "\n" ); document.write( "One number is 7 less than another. If 4 times the smaller number plus 2 times the larger number is 62, find the two numbers. \r
\n" ); document.write( "\n" ); document.write( "I just don't get these at all. Thanks, Dawn \n" ); document.write( "

Algebra.Com's Answer #138946 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( "given:
\n" ); document.write( "(1) $\"b+=+a+-+7\"$
\n" ); document.write( "(2) $\"4b+%2B+2a+=+62\"$
\n" ); document.write( "-----------------
\n" ); document.write( "You have 2 equations and 2 unknowns. In all
\n" ); document.write( "cases where the number of unknowns = the number of equations,
\n" ); document.write( "the problem is solvable.
\n" ); document.write( "I'll substitute (1) in (2)
\n" ); document.write( "(2) $\"4%2A%28a+-+7%29+%2B+2a+=+62\"$
\n" ); document.write( "(2) $\"4a+-+28+%2B+2a+=+62\"$
\n" ); document.write( "(2) $\"6a+=+90\"$
\n" ); document.write( "(2) $\"a+=+15\"$
\n" ); document.write( "Now plug this result back into (1)
\n" ); document.write( "(1) $\"b+=+15+-+7\"$
\n" ); document.write( "(1) $\"b+=+8\"$
\n" ); document.write( "The larger number is 15 and the smaller is 8
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"4b+%2B+2a+=+62\"$
\n" ); document.write( "(2) $\"4%2A8+%2B+2%2A15+=+62\"$
\n" ); document.write( "(2) $\"32+%2B+30+=+62\"$
\n" ); document.write( "(2) $\"62+=+62\"$
\n" ); document.write( "OK\r
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