document.write( "Question 590759: the second no. of three nos.is 3 more than twice the first no. The 3rd no.is two times the 2nd no.If the difference between 3 times the 2nd no. and five times the 1st no. is 18.What is the 3rd no.? \n" ); document.write( "

Algebra.Com's Answer #375327 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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3 numbers, a, b, c
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\n" ); document.write( "Write an equation for each statement:
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\n" ); document.write( "\"the second no. of three nos.is 3 more than twice the first no.\"
\n" ); document.write( "b = 2a + 3
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\n" ); document.write( "\"The 3rd no.is two times the 2nd no.\"
\n" ); document.write( "c = 2b
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\n" ); document.write( "\"If the difference between 3 times the 2nd no. and five times the 1st no. is 18.\"
\n" ); document.write( "3b - 5a = 18
\n" ); document.write( "or
\n" ); document.write( "5a = 3b - 18
\n" ); document.write( "Replace b with (2a+3) from the 1st equation
\n" ); document.write( "5a = 3(2a+3) - 18
\n" ); document.write( "5a = 6a + 9 - 18
\n" ); document.write( "5a = 6a - 9
\n" ); document.write( "9 = 6a - 5a
\n" ); document.write( "a = 9
\n" ); document.write( "Find b using the 1st equation
\n" ); document.write( "b = 2(9) + 3
\n" ); document.write( "b = 18 - 3
\n" ); document.write( "b = 21
\n" ); document.write( "find c using the 2nd equation
\n" ); document.write( "c = 2(21)
\n" ); document.write( "c = 42, is the 3rd number
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