document.write( "Question 53380This question is from textbook Elementary and Intermediate Algebra
\n" ); document.write( ": Here is a problem that I can't seem to translate: ah! help! :)\r
\n" ); document.write( "\n" ); document.write( "Q70: The difference of two numbers is 16. Three-fourths of the larger number is 14 larger than one-half of the smaller number. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #35643 by ankor@dixie-net.com(22740)\"\" \"About 
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The difference of two numbers is 16. Three-fourths of the larger number is 14 larger than one-half of the smaller number. Find the numbers.
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\n" ); document.write( "The two numbers are x & y
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\n" ); document.write( "\"The difference of two numbers is 16.\" can be written;
\n" ); document.write( " x - y = 16
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\n" ); document.write( "\"Three-fourths of the larger number is 14 larger than one-half of the smaller number.\"
\n" ); document.write( " .75x = 14 + .5y
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\n" ); document.write( "Rearrange the 1st equation:
\n" ); document.write( "x - y = 16
\n" ); document.write( " x = (y+16)
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\n" ); document.write( "Substitute (y+16) for x in the 2nd equation:
\n" ); document.write( " .75(y+16) = 14 + .5y
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\n" ); document.write( ".75y + 12 = 14 + .5y
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\n" ); document.write( ".75y - .5y = 14 - 12
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\n" ); document.write( " .25y = 2
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\n" ); document.write( "y = 2/.25
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\n" ); document.write( "y = 8
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\n" ); document.write( "Find x: x = 8 + 16
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\n" ); document.write( "x = 24
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\n" ); document.write( "Check solutions; x = 24 and y = 8 in the 2nd equations:
\n" ); document.write( ".75(24) = 14 + .5(8)
\n" ); document.write( " 18 = 14 + 4 \n" ); document.write( "
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