document.write( "Question 110259: The difference of 2 numbers is 25. The smaller is 5 more than half the larger number. Find both numbers. \n" ); document.write( "

Algebra.Com's Answer #80363 by solver91311(24713) $\"\"$ $\"About$

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The difference of two numbers is 25 means: $\"x-y=25\"$ . Half of the larger number would be $\"x%2F2\"$ , and 5 more than that would be $\"x%2F2%2B5\"$ , so we can write $\"y=x%2F2%2B5\"$
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\n" ); document.write( "The simplest thing to do at this point is to substitute for y in the first equation:
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\n" ); document.write( " $\"x-%28x%2F2%2B5%29=25\"$
\n" ); document.write( " $\"x-x%2F2=30\"$
\n" ); document.write( " $\"2x-x=60\"$
\n" ); document.write( " $\"x=60\"$
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\n" ); document.write( " $\"60-y=25\"$
\n" ); document.write( " $\"y=35\"$
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\n" ); document.write( "Check:
\n" ); document.write( "The difference between 60 and 35 is 25. Half of 60 is 30 and 5 more is 35. Check. \n" ); document.write( "

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