document.write( "Question 149945: 11.25) Two numbers have the ratio 3:4. If 4 is added to each of the numbers the resulting ratio is 4:5. Find the numbers.\r
\n" ); document.write( "\n" ); document.write( "11.27) A line segment of length 120 inches is divided into three parts whose lengths are proportional to 3,4,5. Find the lengths of the parts. \n" ); document.write( "
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11.25) Two numbers have the ratio 3:4. If 4 is added to each of the numbers the resulting ratio is 4:5. Find the numbers.
\n" ); document.write( "Ans: 3:4 is the same as 3x:4x
\n" ); document.write( "Adding 4 to each of the numbers you get:
\n" ); document.write( "(3x+4)/(4x+4) = 4/5
\n" ); document.write( "5(3x+4) = 4(4x+4)
\n" ); document.write( "15x+20 = 16x+16
\n" ); document.write( "x = 4
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\n" ); document.write( "The numbers are 3x = 12 and 4x = 16
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\n" ); document.write( "11.27) A line segment of length 120 inches is divided into three parts whose lengths are proportional to 3,4,5. Find the lengths of the parts.
\n" ); document.write( "Ans:
\n" ); document.write( "3x + 4x + 5x = 120
\n" ); document.write( "12x = 120
\n" ); document.write( "x = 10
\n" ); document.write( "3x = 30
\n" ); document.write( "4x = 40
\n" ); document.write( "5x = 50
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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