document.write( "Question 764032: Please help me solve this word problem: The sum of two numbers is 41. One number is one less than twice the other. Find the larger of the two numbers. I would also, if you don't mind, if you can show me step by step on how you get the answer. Thank you so much. \n" ); document.write( "

Algebra.Com's Answer #465153 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the numbers be $\"+a+%7D%7D+%7Dand+%7B%7B%7B+b+\"$
\n" ); document.write( "The larger number is $\"+a+\"$
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+41+\"$
\n" ); document.write( "(2) $\"+a+=+2b+-+1+\"$
\n" ); document.write( "----------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+2b+-+1+%2B+b+=+41+\"$
\n" ); document.write( "(1) $\"+3b+=+42+\"$
\n" ); document.write( "(1) $\"+b+=+14+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"+a+=+2b+-+1+\"$
\n" ); document.write( "(2) $\"+a+=+2%2A14+-+1+\"$
\n" ); document.write( "(2) $\"+a+=+27+\"$
\n" ); document.write( "The larger number is 27\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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