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The houses of a row are numbered consecu...

The houses of a row are numbered consecutively from 1 to 49. Show that there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it. Find this value of x.

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The houses of a row are numbered from 1 to 49. Show that there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the no. of the houses following it. Find the value of the x.

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Knowledge Check

  • The sum of three numbers is 855. One of the numbers, x, is 50% more than the sum of the other two numbers. What is the value of x ?

    A
    570
    B
    513
    C
    214
    D
    155
  • The product of two number x and y is twice the sum of the numbers. What is the sum of the reciprocals of x and y?

    A
    `1//8`
    B
    `1//4`
    C
    `1//2`
    D
    `2`
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