document.write( "Question 1044358: One number is less than twice the other number.if the larger number is divided by the smaller number, the quotient is 1 and the remainder is 2. Find the numbers.(let x be the smaller number) \n" ); document.write( "
Algebra.Com's Answer #659639 by ankor@dixie-net.com(22740)\"\" \"About 
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y = the larger number
\n" ); document.write( "x = the smaller
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\n" ); document.write( "Write an equation for each phrase
\n" ); document.write( ":
\n" ); document.write( " One number is less than twice the other number.
\n" ); document.write( "y < 2x
\n" ); document.write( "if the larger number is divided by the smaller number, the quotient is 1 and the remainder is 2.
\n" ); document.write( "\"%28%28y-2%29%29%2Fx\" = 1
\n" ); document.write( "therefore
\n" ); document.write( "y - 2 = x
\n" ); document.write( "y = x + 2
\n" ); document.write( ":
\n" ); document.write( "replace y in the 1st equation
\n" ); document.write( "x + 2 < 2x
\n" ); document.write( "2 < 2x - x
\n" ); document.write( "2 < x
\n" ); document.write( "Assume x = 3, then y = 5
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\n" ); document.write( "Check this in the statement
\n" ); document.write( "\" if the larger number is divided by the smaller number, the quotient is 1 and the remainder is 2.\"
\n" ); document.write( "\"5%2F3\" = 1 remainder 2\r
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