document.write( "Question 660868: one number is 4 more than another number.three times the greater number equals four time the lesser number.find the numbers. \n" ); document.write( "

Algebra.Com's Answer #411380 by ReadingBoosters(3246) $\"\"$ $\"About$

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x = one number
\n" ); document.write( "y = another number
\n" ); document.write( "x = 4 + y
\n" ); document.write( "so x is the greater number
\n" ); document.write( "3x = 4y\r
\n" ); document.write( "\n" ); document.write( "Multiply the first equation by -3 and add the second equation
\n" ); document.write( "-3(x = 4+y)
\n" ); document.write( "-3x = -12 - 3y\r
\n" ); document.write( "\n" ); document.write( "-3x + 3x = 4y + -3y + -12
\n" ); document.write( "0 = y - 12
\n" ); document.write( "12 = y\r
\n" ); document.write( "\n" ); document.write( "x = 4 + 12 = 16
\n" ); document.write( "Proof
\n" ); document.write( "3(16) =48
\n" ); document.write( "4(12) =48\r
\n" ); document.write( "\n" ); document.write( "Alternatively, solve by simple substitution as
\n" ); document.write( "3(4+y) = 4y
\n" ); document.write( "12 + 3y = 4y
\n" ); document.write( "12 = 4y - 3y
\n" ); document.write( "12=y \n" ); document.write( "

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