document.write( "Question 825751: If one-half of the bigger number is added to the smaller number, the result is 52. Find the numbers if the numbers differ by 35. \n" ); document.write( "

Algebra.Com's Answer #497653 by KMST(5328) $\"\"$ $\"About$

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$\"x\"$ = the smaller number
\n" ); document.write( " $\"x%2B35\"$ = the bigger number
\n" ); document.write( " $\"%28x%2B35%29%2F2\"$ = one-half of the bigger number
\n" ); document.write( "
\n" ); document.write( " $\"x%2B%28x%2B35%29%2F2=52\"$
\n" ); document.write( "Multiplying both sides times 2 we get
\n" ); document.write( " $\"2x%2B2%28x%2B35%29%2F2=2%2A52\"$
\n" ); document.write( " $\"2x%2Bcross%282%29%28x%2B35%29%2Fcross%282%29=104\"$
\n" ); document.write( " $\"2x%2Bx%2B35=104\"$
\n" ); document.write( " $\"3x%2B35=104\"$
\n" ); document.write( " $\"3x=104-35\"$
\n" ); document.write( " $\"3x=69\"$
\n" ); document.write( " $\"x=69%2F3\"$
\n" ); document.write( " $\"highlight%28x=23%29\"$ is the smaller number and
\n" ); document.write( " $\"x%2B35=23%2B35=highlight%2858%29\"$ is the bigger number.
\n" ); document.write( "
\n" ); document.write( "Verification:
\n" ); document.write( " $\"23%2B58%2F2=23%2B29=52\"$ \n" ); document.write( "

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