document.write( "Question 1077749: The difference between two numbers is 6. Ten times the smaller number is six times the larger number. What are the two numbers?\r
\n" ); document.write( "\n" ); document.write( "We are working out of systems of equations chapter. I know how to do the work when the equations are given and know how to substitute to get my x and y. Then this came along, this word problem. I don't know how to write the equations. I believe the first one is x-y=6 but I can't see the second one in my mind. I spent hours trying to figure it out. Please help! \n" ); document.write( "

Algebra.Com's Answer #692268 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "The difference between two numbers is 6. Ten times the smaller number is six times the larger number. What are the two numbers?\r
\n" ); document.write( "\n" ); document.write( "We are working out of systems of equations chapter. I know how to do the work when the equations are given and know how to substitute to get my x and y. Then this came along, this word problem. I don't know how to write the equations. I believe the first one is x-y=6 but I can't see the second one in my mind. I spent hours trying to figure it out. Please help!
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Since you already have x - y = 6, it means that you've chosen x to be the LARGER number, and y, the SMALLER number.
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document.write( "With this in mind, and the fact that it's given that \"Ten times the smaller number is six times the larger number,\" we get: 10y = 6x. 
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document.write( "Now that you have 2 equations, I'm sure you'll be able to determine the 2 numbers. \n" );
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