document.write( "Question 532754: the sum of two numbers is 90. the first number is 2/3 of the second number. what are the numbers? \n" ); document.write( "

Algebra.Com's Answer #350911 by josmiceli(19441) $\"\"$ $\"About$

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given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+90+\"$
\n" ); document.write( "(2) $\"+a+=+%282%2F3%29%2Ab+\"$
\n" ); document.write( "---------------
\n" ); document.write( "(2) $\"+3a+=+2b+\"$
\n" ); document.write( "(2) $\"+3a+-+2b+=+0+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"2\"$
\n" ); document.write( "and add the equations
\n" ); document.write( "(2) $\"+3a+-+2b+=+0+\"$
\n" ); document.write( "(1) $\"+2a+%2B+2b+=+180+\"$
\n" ); document.write( " $\"+5a+=+180+\"$
\n" ); document.write( " $\"+a+=+36+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+b+=+90+\"$
\n" ); document.write( "(1) $\"+b+=+90+-+36+\"$
\n" ); document.write( "(1) $\"+b+=+54+\"$
\n" ); document.write( "The numbers are 36 and 54
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+a+=+%282%2F3%29%2Ab+\"$
\n" ); document.write( "(2) $\"+36+=+%282%2F3%29%2A54+\"$
\n" ); document.write( "(2) $\"+108+=+2%2A54+\"$
\n" ); document.write( "(2) $\"+108+=+108+\"$
\n" ); document.write( "OK \n" ); document.write( "

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