document.write( "Question 214913This question is from textbook
\n" ); document.write( ": The greater of two numbers is 10 less than 3 times the smaller. If the greater is increased by twice the smaller, the result is 8 less than 3 times the greater, What are the two numbers? \n" ); document.write( "
Algebra.Com's Answer #162384 by stanbon(75887)\"\" \"About 
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The greater of two numbers is 10 less than 3 times the smaller. If the greater is increased by twice the smaller, the result is 8 less than 3 times the greater, What are the two numbers?
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\n" ); document.write( "Equations:
\n" ); document.write( "g = 3s - 10
\n" ); document.write( "g + 2s = 3g - 8
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\n" ); document.write( "Rearrange the equations:
\n" ); document.write( "g = 3s - 10
\n" ); document.write( "2g = 2s + 8
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\n" ); document.write( "Substitute for \"g\" and solve for \"s\":
\n" ); document.write( "2(3s-10) = 2s+8
\n" ); document.write( "6s - 20 = 2s + 8
\n" ); document.write( "4s = 28
\n" ); document.write( "s = 7 (the smaller number)
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\n" ); document.write( "Substitute into g = 3s-10 to get g = 3*7-10 = 11 (larger number)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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