document.write( "Question 942056: A positive integer is 5 less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is 7/30 what is the smaller integer? \n" ); document.write( "
Algebra.Com's Answer #574226 by stanbon(75887)\"\" \"About 
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A positive integer is 5 less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is 7/30 what is the smaller integer?
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\n" ); document.write( "Equations::
\n" ); document.write( "x = y-5
\n" ); document.write( "Note: x is the smaller; y is the larger
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\n" ); document.write( "(1/x)+(2/y) = (7/30)
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\n" ); document.write( "Substitute for \"y\" and solve for \"x\"::
\n" ); document.write( "(1/x) + (2/(x+5)) = 7/30
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\n" ); document.write( "Multiply thru by 30x(x+5) to get:
\n" ); document.write( "30(x+5) + 60(x) = 7x(x+5)
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\n" ); document.write( "90x + 150 = 7x^2 + 35x
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\n" ); document.write( "7x^2 - 55x - 150 = 0
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\n" ); document.write( "Ans:: x = 10
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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