document.write( "Question 257661: Of larger of two numbers is divided by the smaller, the quotient & remainder are 2 each. if 5 times the smaller number is divided by the larger number, the quotient & remainder are still 2 each. Find the two numbers \n" ); document.write( "
Algebra.Com's Answer #189565 by ankor@dixie-net.com(22740)\"\" \"About 
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Let x = the larger number
\n" ); document.write( "Let y = the smaller
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\n" ); document.write( "Write an equation for each statement:
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\n" ); document.write( "If larger of two numbers is divided by the smaller, the quotient & remainder are 2 each.
\n" ); document.write( "x - 2y = 2
\n" ); document.write( "x = 2y + 2 (x equals the quotient(2) times the divisor(y) plus the remainder)
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\n" ); document.write( "if 5 times the smaller number is divided by the larger number, the quotient & remainder are still 2 each.
\n" ); document.write( "5y - 2x = 2
\n" ); document.write( "5y = 2x + 2
\n" ); document.write( "Replace x with (2y+2) in the above equation
\n" ); document.write( "5y = 2(2y+2) + 2
\n" ); document.write( "5y = 4y + 4 + 2
\n" ); document.write( "5y - 4y = 6
\n" ); document.write( "y = 6
\n" ); document.write( "then
\n" ); document.write( "x = 2(6) 2
\n" ); document.write( "x = 14
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\n" ); document.write( "14 and 6 are the two numbers
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\n" ); document.write( "Check solution in the equation 5y - 2x = 2
\n" ); document.write( "5(6) - 2(14) = 2
\n" ); document.write( "30 - 28 = 2\r
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