document.write( "Question 169240: Divide 556 into two parts such that if the larger part is added to 12 and the smaller part is added to 18 the resulting sums would be equal. \n" ); document.write( "
Algebra.Com's Answer #124785 by nerdybill(7384)\"\" \"About 
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Divide 556 into two parts such that if the larger part is added to 12 and the smaller part is added to 18 the resulting sums would be equal.
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\n" ); document.write( "Let L = larger part
\n" ); document.write( "and S = smaller part
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\n" ); document.write( "Since we have two unknowns, we'll need two equations:
\n" ); document.write( "L + S = 556 (equation 1)
\n" ); document.write( "L + 12 = S + 18 (equation 2)
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\n" ); document.write( "Solving equation 1 for S:
\n" ); document.write( "L + S = 556
\n" ); document.write( "S = 556 - L
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\n" ); document.write( "Plug the above into equation 2 and solve for L:
\n" ); document.write( "L + 12 = S + 18
\n" ); document.write( "L + 12 = 556 - L + 18
\n" ); document.write( "L + 12 = 574 - L
\n" ); document.write( "2L + 12 = 574
\n" ); document.write( "2L = 562
\n" ); document.write( "L = 281 (larger number)
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\n" ); document.write( "To find the smaller number, plug the above into equation 1:
\n" ); document.write( "L + S = 556
\n" ); document.write( "281 + S = 556
\n" ); document.write( "S = 556 - 281
\n" ); document.write( "S = 275 (smaller number)\r
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