document.write( "Question 1112920: Find the value of two numbers if their sum is 70 and their difference is 36. \n" ); document.write( "
Algebra.Com's Answer #727941 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "(1) By logical reasoning....

\n" ); document.write( "Think of the two numbers on a number line. If you start at the larger number and add the smaller, you end up at 70; if you start at the larger and subtract the smaller, you end up at 36. Logical analysis tells you the larger number is halfway between 36 and 70.

\n" ); document.write( "larger number = \"%2836%2B70%29%2F2+=+106%2F2+=+53\"
\n" ); document.write( "smaller number = \"70-53+=+17\"

\n" ); document.write( "Answer: the two numbers are 53 and 17.

\n" ); document.write( "(2) algebraically....

\n" ); document.write( "\"x%2By+=+70\"
\n" ); document.write( "\"x-y+=+36\"
\n" ); document.write( "\"2x+=+106\" (add the two equations)
\n" ); document.write( "\"x+=+53\"
\n" ); document.write( "\"53%2By+=+70\"
\n" ); document.write( "\"y+=+17\"
\n" ); document.write( "
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