document.write( "Question 1009320: Please help me solve this word problem:\r
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document.write( "What three \r
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document.write( "numbers are added two at a time, the sums are 41, 50, and 65. What is the sum of all three numbers?\r
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document.write( "THANK YOU!\r
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Algebra.Com's Answer #624832 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! What three \n" ); document.write( "numbers are added two at a time, the sums are 41, 50, and 65. What is the sum of all three numbers? \n" ); document.write( "---- \n" ); document.write( "Let the numbers be a, b, and c. \n" ); document.write( "--- \n" ); document.write( "Equations: \n" ); document.write( "a+ b = 41 \n" ); document.write( "a+ c = 50 \n" ); document.write( "b+ c = 65 \n" ); document.write( "-------- \n" ); document.write( "Subtract the 2nd equation from the 1st to get: \n" ); document.write( "b - c = -9 \n" ); document.write( "-------- \n" ); document.write( "Add that to the 3rd equation to solve for \"b\" \n" ); document.write( "2b = 56 \n" ); document.write( "b = 28 \n" ); document.write( "--- \n" ); document.write( "Then a = 41-b = 41-28 = 13 \n" ); document.write( "And c = 65-28 = 37 \n" ); document.write( "--------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------------- \n" ); document.write( " |