document.write( "Question 174709: one number is 16 more than another. If the smaller number is subtracted from two thirds of the larger number, the result is one fourth of the sun of the two numbers. Find the numbers. \n" ); document.write( "

Algebra.Com's Answer #129755 by Mathtut(3670) $\"\"$ $\"About$

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lets call the smaller and larger numbers, S and L , respectively
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\n" ); document.write( "L=S+16........eq 1
\n" ); document.write( "1/4(L+S)=(2/3)L-S..eq 2
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\n" ); document.write( "take L's value of S+16 from eq 1 and plug it into eq 2
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\n" ); document.write( "1/4(S+16+S)=(2/3)(S+16)-S.....multiply all terms by 12
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\n" ); document.write( "3(2S+16)=8(S+16)-12S
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\n" ); document.write( "6S+48=8S+128-12S
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\n" ); document.write( "10S=80
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\n" ); document.write( " $\"highlight%28S=8%29\"$
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\n" ); document.write( " $\"highlight%28L=S%2B16=8%2B16=24%29\"$ \n" ); document.write( "

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