document.write( "Question 995366: Please help me solve this word problem: The larger of the two numbers is 1 less than 3 times the smaller number if twice the smaller number is increased by the larger number the result is 18 more than the larger number .find both numbers
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Algebra.Com's Answer #614115 by rothauserc(4718)\"\" \"About 
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let x be the larger number and y be the smaller number, then
\n" ); document.write( "x = 3y -1
\n" ); document.write( "2y +x = x + 18
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\n" ); document.write( "use second equation
\n" ); document.write( "subtract x from both sides of =
\n" ); document.write( "2y = 18
\n" ); document.write( "y = 9
\n" ); document.write( "substitute for y in first equation
\n" ); document.write( "x = 3*9 -1
\n" ); document.write( "x = 26
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\n" ); document.write( "the two numbers are 26 and 9
\n" ); document.write( "check using second equation
\n" ); document.write( "(2*9) +26 = 26 + 18
\n" ); document.write( "18 = 18
\n" ); document.write( "answer checks
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