document.write( "Question 423037: One half the sum of two numbers is equal to one and one half times their difference. twice the larger number exceeda three times the smaller by 12. find the numbers. \n" ); document.write( "

Algebra.Com's Answer #295318 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi
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document.write( "twice the larger number exceeds three times the smaller by 12 
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document.write( "Let x and y represent the smaller and larger number respectivley
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document.write( "Question states***
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document.write( " (1/2)(x+y) = (3/2)(y-x)  |x+y = 3y - 3x  and 4x = 2y and y = 2x
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document.write( "    2y = 3x + 12
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document.write( "    4x = 3x + 12    |Substituting 2x for y
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document.write( "     x = 12 and y = 24    (y = 2*12)
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document.write( " CHECKING our Answer***
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document.write( " 1/2*36 = 3/2* 12 = 18 \n" );
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