document.write( "Question 1021832: Find three consecutive odd integer such that 2 times the sum of the first two numbers is one less than thrice the third number.
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Algebra.Com's Answer #637560 by addingup(3677)![]() ![]() You can put this solution on YOUR website! Odd integers. 1, 3, 5, etc. The difference between them is 2 (1+2=3, 3+2 = 5, etc) \n" ); document.write( "So, our numbers are going to be: \n" ); document.write( "x, x+2, x+2+2 = x, x+2, x+4 \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \n" ); document.write( "2(x+x+2)= 3(x+4)-1 Multiply to get rid of parenthesis \n" ); document.write( "2x+2x+4 = 3x+12-1 Add \n" ); document.write( "4x+4 = 3x+11 Subtract 4 and 3x on both sides \n" ); document.write( "x = 7 This is our first number. \n" ); document.write( "Second number: 7+2 = 9 \n" ); document.write( "Third number: 9+2 = 11 \n" ); document.write( "Now let's check by plugging these number into the equation and finding out if we have the right answer. The problem says: \n" ); document.write( "2(7+9) = 3(11)-1 \n" ); document.write( "32 = 32 We have the correct answer. \n" ); document.write( "J \n" ); document.write( " |