Question 1202608
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To find the middle number, divide 1542 by 3: you will get

    middle number = {{{1542/3}}} = 514.


Then the smaller number is 512 and the larger number is 516.


<U>ANSWER</U>. The numbers are 512, 514, 516.
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                Explanation


Let x be the middle number.

Then the numbers are  (x-2), x and (x+2).


Adding them, we get  (x-2) + x + (x+2) = 3x.


It gives us an equation 

    3x = 1542,

which we used above to find the middle number.
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Solved, with explanation.