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16 April, 09:41

The sum of three consecutive even numbers one hundred fifty six. what are the numbers?

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  1. 16 April, 09:47
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    Most people let the three numbers be x, x+2, and x+4,

    then add them up, set the sum equal to 156, solve the

    equation for 'x', then calculate x+2 and x+4.

    But I do it like this:

    Three numbers have the sum of 156.

    If all three were the same number, it would be 156/3 = 52.

    Great!

    Put 52 on the table three times. Their sum is 156.

    Take 2 away from one of them. It becomes 50.

    Give the 2 to a different one. That one becomes 52.

    All you did was move a 2 around.

    But now you have 50, 52, and 54 on the table. Their sum is still 156.
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