document.write( "Question 1047713: Two positive numbers are in the ratio 3: 4. Find the numbers if (a) their sum is 84 and (b) their product is 588.\r
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Algebra.Com's Answer #663254 by ankor@dixie-net.com(22740)\"\" \"About 
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;two number a & b
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\n" ); document.write( "Two positive numbers are in the ratio 3: 4.
\n" ); document.write( "\"a%2Fb\" = \"3%2F4\"
\n" ); document.write( "cross multiply
\n" ); document.write( "4a = 3b
\n" ); document.write( "a = \"3%2F4\"b
\n" ); document.write( "a = .75b
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\n" ); document.write( "Find the numbers if:
\n" ); document.write( " (a) their sum is 84
\n" ); document.write( " a + b = 84
\n" ); document.write( "replace a with .75b
\n" ); document.write( ".75b + b = 84
\n" ); document.write( "1.75b = 84
\n" ); document.write( "b = 84/1.75
\n" ); document.write( "b = 48
\n" ); document.write( "Find a
\n" ); document.write( "a = .75(48)
\n" ); document.write( "a = 36
\n" ); document.write( "and
\n" ); document.write( " (b) their product is 588.
\n" ); document.write( "a * b = 588
\n" ); document.write( "replace a with .75b
\n" ); document.write( ".75b^2 = 588
\n" ); document.write( "b^2 = 588/.75
\n" ); document.write( "b^2 = 784
\n" ); document.write( "b = \"sqrt%28784%29\"
\n" ); document.write( "b = 28
\n" ); document.write( "find a
\n" ); document.write( "a = .75(28)
\n" ); document.write( "a = 21
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\n" ); document.write( "Check: 21 * 28 = 588
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