so consectuve even numberswe know that one even number plus 2= another even number so we want to find 3 consecutive even numbers that add up to 96 orx is the first numberx+2 is the second numberx+4 is the third numberx+x+2+x+4=963x+6=96subtract 6 from both sides3x=90divide both sides by 3x=30the first number is 30x+2=32=second numberx+4=34=third numberthe numbers are 30,32,34
Let me show you how I like to do problems like this:-- If I just needed three numbers that add up to 96, the easiest way to do it would be to find 1/3 of 96 . That's 32, so the three numbers could be 32, 32, and 32.-- If you want three consecutive even numbers, just take 2 away from one of those numbers, and add it on to a different one.Now you have 30, 32, and 34, and you haven't changed their sum.
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