document.write( "Question 595372: when three numbers are added in pairs,the sums of the pairs are,22,39,and 45. What are the three numbers? \n" ); document.write( "
Algebra.Com's Answer #377108 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! when three numbers are added in pairs,the sums of the pairs are,22,39,and 45. What are the three numbers? \n" ); document.write( ": \n" ); document.write( "a+b = 22 \n" ); document.write( "a+c = 39 \n" ); document.write( "b+c = 45 \n" ); document.write( ": \n" ); document.write( "Arrange the last two equations for elimination \n" ); document.write( "b + c = 45 \n" ); document.write( "a + c = 39 \n" ); document.write( "-------------subtraction eliminates c \n" ); document.write( "b - a = 6 \n" ); document.write( "b = a+6 \n" ); document.write( "In the first equation, replace b with a+6 \n" ); document.write( "a + (a+6) = 22 \n" ); document.write( "2a = 22 - 6 \n" ); document.write( "2a = 16 \n" ); document.write( "a = 8 \n" ); document.write( "Use the 2nd equation to find c, \n" ); document.write( "8 + c = 39 \n" ); document.write( "c = 39-8 \n" ); document.write( "c = 31 \n" ); document.write( "Use the last equation to find b \n" ); document.write( "b + 31 = 45 \n" ); document.write( "b = 45-31 \n" ); document.write( "b = 14 \n" ); document.write( ": \n" ); document.write( "We have: a=8, b=14, c=31 \n" ); document.write( " \n" ); document.write( " |