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)![]() ![]() You can put this solution on YOUR website! ;two number a & b \n" ); document.write( ": \n" ); document.write( "Two positive numbers are in the ratio 3: 4. \n" ); document.write( " \n" ); document.write( "cross multiply \n" ); document.write( "4a = 3b \n" ); document.write( "a = \n" ); document.write( "a = .75b \n" ); document.write( ": \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 = \n" ); document.write( "b = 28 \n" ); document.write( "find a \n" ); document.write( "a = .75(28) \n" ); document.write( "a = 21 \n" ); document.write( ": \n" ); document.write( "; \n" ); document.write( "Check: 21 * 28 = 588 \n" ); document.write( " \n" ); document.write( " |