document.write( "Question 836640: two numbers are in the ratio 2:3 . if 20% of the smaller number added to 20 is equal to the sum of 10% of the larger number and 25, then the smaller is \n" ); document.write( "
Algebra.Com's Answer #504314 by ankor@dixie-net.com(22740)\"\" \"About 
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two numbers are in the ratio 2:3.
\n" ); document.write( "let x = the multiplier
\n" ); document.write( "then
\n" ); document.write( "2x = the smaller number
\n" ); document.write( "3x = the larger
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\n" ); document.write( "if 20% of the smaller number added to 20 is equal to the sum of 10% of the larger number and 25,
\n" ); document.write( ".2(2x) + 20 = .1(3x) + 25
\n" ); document.write( ".4x + 20 = .3x + 25
\n" ); document.write( ".4x - .3x = 25 - 20
\n" ); document.write( ".1x = 5
\n" ); document.write( "x = 5/.1
\n" ); document.write( "x = 50 is the multiplier
\n" ); document.write( ":
\n" ); document.write( "then the smaller is: 2*50 = 100
\n" ); document.write( ":
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\n" ); document.write( ":
\n" ); document.write( "Check this, (the larger number 3*50 = 150)
\n" ); document.write( ".2(100) + 20 = .1(150) + 25
\n" ); document.write( "20 + 20 = 15 + 25 \n" ); document.write( "
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