document.write( "Question 909336: the sum of 3 integers is 77. The sum of the first and second integers exceeds the third by 99. The third integer is 65 less than the first. Find the three integers \n" ); document.write( "
Algebra.Com's Answer #551810 by JulietG(1812) You can put this solution on YOUR website! A + B + C = 77 \n" ); document.write( "A + B = C + 99 \n" ); document.write( "C = A - 65 \n" ); document.write( "Substitute the known values \n" ); document.write( "A + B + C = 77 \n" ); document.write( "(C + 99) + C = 77 \n" ); document.write( "2C + 99 = 77 \n" ); document.write( "2C = -22 \n" ); document.write( "C = -11 \n" ); document.write( "Now substitute the value of C into the 3rd equation \n" ); document.write( "C = A - 65 \n" ); document.write( "-11 = A - 65 \n" ); document.write( "54 = A \n" ); document.write( "Back the the first equation \n" ); document.write( "A + B + C = 77 \n" ); document.write( "54 + B - 11 = 77 \n" ); document.write( "Subtract 54 and add 11 to each side \n" ); document.write( "B = 34 \n" ); document.write( "A=54, B=34, C=-11 \n" ); document.write( "Check: \n" ); document.write( "The sum of the first and second integers exceeds the third by 99.-- 54+34=99-11 \n" ); document.write( "88=88 \n" ); document.write( "The third integer is 65 less than the first. 54-65 = -11 \n" ); document.write( "the sum of 3 integers is 77. 54 + 34 - 11 = 77 \n" ); document.write( " |