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
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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? \n" );
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Algebra.Com's Answer #369955 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let the three number be a, b, c \n" ); document.write( ": \n" ); document.write( "The second of three numbers is 3 times the first. \n" ); document.write( "b = 3a \n" ); document.write( ": \n" ); document.write( " The third is 5 more than the second. \n" ); document.write( "c = b+5 \n" ); document.write( ": \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 = \n" ); document.write( ": \n" ); document.write( "What are the three numbers?: \n" ); document.write( ": \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 = \n" ); document.write( "b = 9 \n" ); document.write( "then \n" ); document.write( "a = 9 + 3 \n" ); document.write( "a = 12 \n" ); document.write( ": \n" ); document.write( "What are the numbers? 12 and 9 \n" ); document.write( " |