document.write( "Question 249574: The sum of 2 numbers is 87. If twice the smaller number is subtracted from the larger number, the result is 12. Find the two numbers. How do I solve it step by step? \n" ); document.write( "

Algebra.Com's Answer #181745 by chosenpoint(26) $\"\"$ $\"About$

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Linear-systems/249574 (2009-12-14 04:33:42): The sum of 2 numbers is 87. If twice the smaller number is subtracted from the larger number, the result is 12. Find the two numbers. How do I solve it step by step?
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\n" ); document.write( "\n" ); document.write( "We need to set up a system of equations using x and y, where y is the smaller number.
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\n" ); document.write( "\n" ); document.write( "x+y=87 given
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\n" ); document.write( "\n" ); document.write( "x-2y=12 given
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\n" ); document.write( "\n" ); document.write( "We can then easily subtract the bottom equation from the top equation in order to find the value of y, which leads to
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\n" ); document.write( "\n" ); document.write( "(x-x)+y-(-2y)=87-12 subtract bottom equation from top equation
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\n" ); document.write( "\n" ); document.write( "3y=75 simplify
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\n" ); document.write( "\n" ); document.write( "y=25 divide both sides by 3
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\n" ); document.write( "\n" ); document.write( "x+y=87 given
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\n" ); document.write( "\n" ); document.write( "x+25=87 substitute 25 in for y
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\n" ); document.write( "\n" ); document.write( "x=62 subtract 25 from both sides
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\n" ); document.write( "\n" ); document.write( "Final Answer: 62 and 25
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\n" ); document.write( "\n" ); document.write( "Answer 181745 by chosenpoint(19) on 2009-12-14 04:44:03
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