document.write( "Question 916515: The quotient of two numbers is 6. If the greater number is decreased by eight, it is equal to four times the lesser number. What are the numbers? \n" ); document.write( "
Algebra.Com's Answer #556091 by Theo(13342)\"\" \"About 
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a is the larger number
\n" ); document.write( "b is the smaller number
\n" ); document.write( "a/b = 6\r
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\n" ); document.write( "\n" ); document.write( "a+8 = 4b
\n" ); document.write( "subtract 8 from both sides of the equation to get:
\n" ); document.write( "a = 4b-8\r
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\n" ); document.write( "\n" ); document.write( "replace a with 4b-8 in the equation a/b = 6 to get:
\n" ); document.write( "(4b-8)/b = 6
\n" ); document.write( "multiply both sides of the equation by b to get:
\n" ); document.write( "4b-8 = 6b
\n" ); document.write( "subtract 4b from both sides of the equation to get:
\n" ); document.write( "-8 = 2b
\n" ); document.write( "divide both sides of the equation by 2 to get:
\n" ); document.write( "-4 = b which is the same as b = -4\r
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\n" ); document.write( "\n" ); document.write( "since a = 4b-8, and b = -4, then you get:
\n" ); document.write( "a = 4(-4)-8 = -24\r
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\n" ); document.write( "\n" ); document.write( "you have a = -24 and b = -4
\n" ); document.write( "a/b = 6 becomes -24/-4 = 6 which becomes 6 = 6
\n" ); document.write( "this confirms the values of a and b are good.
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