Question:

The sum of three consecutive numbers is600. what is the least of these three numbers?

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please answer it where an 11 year old can understand

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  1. 199, 200, 201. :) The lowest one is 199. You can calculate this by saying that 200 times 3 would be 600, therefore one less than 200 plus 200 plus one more than 200 would be 600. Hope this helps!


  2. x + (x + 1) + (x + 2) = 600

    3x + 3 = 600

    3x = 597

    x = 199

    Numbers are 199 , 200 , 201

  3. let the three unknown consecutive numbers be x, y and z

    x + y + z = 600 [all numbers sum to 600]

    y = x + 1 [if x,y,z are consecutive then y = x+1]

    z = y + 1 = x + 2 [if x,y,z are consecutive then z = y + 1 = x + 2]

    Substitute for y and z in the first equation using the second and third equations:

    x + (x+1) + (x+2) = 600

    x + x + 1 + x + 2 = 600

    3x + 3 = 600

    3x = 597

    x=597/3 = 199

    The three numbers are 199, 200, and 201 with 199 being the least.


  4. 199

  5. Since they are consecutive numbers the three numbers are of the form:

    x, x + 1, x + 2

    Therefore,

    Adding these all together:

    x + (x + 1) + (x + 2) =  600

    Now solving, for x:

    3x + 3 = 600

    3x = 597

    x = 199

    Hope this helps!


  6. 600/ 3 = 200 or average of 200

    199, 200, 201

    199 is the number with the least value.

  7. 199.

          199

          200

       + 201

       -------

          600

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