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EXAMPLE #2 KEY !!! The sum of three consecutive integers is 162. Find the middle number. **************************************************** Solution: L: Let x = one number, and x+1 = next number, and x + 2 = 3rd number. E: x + (x+1) +(x+2) = 162 S: 3x + 3=162 3x = 159 X = 53 ….. this implies that the three numbers are 53, 54, 55 A: “the middle number is 54” ************************************************* If it says ‘even’ then use: “Let x = 1st even number, x+2 = 2nd even number, x+4 = 3rd even number, etc. If it says “odd’ then use: “Let x = 1st odd number, x+2 = 2nd odd number, x+4 = 3rd odd number, etc. Why are these the same? How can this be??