document.write( "Question 5310: mary is half as old as mark the sum of their ages is 51. How old are they no \n" ); document.write( "

Algebra.Com's Answer #2695 by longjonsilver(2297) $\"\"$ $\"About$

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Let x = Rolex present age
\n" ); document.write( "Let y = Rose present age\r
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\n" ); document.write( "\n" ); document.write( "(x-7) = 6(y-7)
\n" ); document.write( "x-7 = 6y - 42
\n" ); document.write( "x-6y = -35\r
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\n" ); document.write( "\n" ); document.write( "(x+1) = 2(y+1)
\n" ); document.write( "x+1 = 2y+2
\n" ); document.write( "x-2y = 1\r
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\n" ); document.write( "\n" ); document.write( "So, we have 2 equations:\r
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\n" ); document.write( "\n" ); document.write( "x-6y = -35
\n" ); document.write( "x-2y = 1\r
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\n" ); document.write( "\n" ); document.write( "Subtract these, to give -4y = -36 --> y = 9\r
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\n" ); document.write( "\n" ); document.write( "x-2y = 1
\n" ); document.write( "x-2(9) = 1
\n" ); document.write( "x-18 = 1
\n" ); document.write( "x = 19\r
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\n" ); document.write( "\n" ); document.write( "So present ages are: Rolex = 19 and Rose = 9\r
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\n" ); document.write( "\n" ); document.write( "jon.
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