document.write( "Question 576539: The second of three numbers is 3 times the first. The third is 5 more than the second. If the second is decreased by twice the third. The result is 5. What are the three numbers?\r
\n" ); document.write( "\n" ); document.write( "The greater of two numbers is 3 more than the smaller. If twice the smaller is added to the greater, the result is 30. What are the numbers?
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Algebra.Com's Answer #369955 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Let the three number be a, b, c
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\n" ); document.write( "The second of three numbers is 3 times the first.
\n" ); document.write( "b = 3a
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\n" ); document.write( " The third is 5 more than the second.
\n" ); document.write( "c = b+5
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\n" ); document.write( " If the second is decreased by twice the third, the result is 5.
\n" ); document.write( "b - 2c = 5
\n" ); document.write( "From the above we can replace c with (b+5)
\n" ); document.write( "b - 2(b+5) = 5
\n" ); document.write( "b - 2b + 10 = 5
\n" ); document.write( "-b = 5 - 10
\n" ); document.write( "-b = -5
\n" ); document.write( " b = 5
\n" ); document.write( "then
\n" ); document.write( "c = 5 + 5
\n" ); document.write( "c = 10
\n" ); document.write( "and
\n" ); document.write( "b = 3a
\n" ); document.write( "5 = 3a
\n" ); document.write( "a = \"5%2F3\"
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\n" ); document.write( "What are the three numbers?: \"5%2F3\", 5, 10
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\n" ); document.write( ":
\n" ); document.write( "The greater of two numbers is 3 more than the smaller.
\n" ); document.write( "a = b+3
\n" ); document.write( ":
\n" ); document.write( " If twice the smaller is added to the greater, the result is 30.
\n" ); document.write( "a + 2b = 30
\n" ); document.write( "Replace a with (b+3)
\n" ); document.write( "(b+3) + 2b = 30
\n" ); document.write( "3b = 30 - 3
\n" ); document.write( "3b = 27
\n" ); document.write( "b = \"27%2F3\"
\n" ); document.write( "b = 9
\n" ); document.write( "then
\n" ); document.write( "a = 9 + 3
\n" ); document.write( "a = 12
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\n" ); document.write( "What are the numbers? 12 and 9
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