In a calendar a square of four number marked The sum of the numbers is 96 what are the numbers

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In a calendar a square of four number marked The sum of the numbers is 96 what are the numbers

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Nevaeh 1 month 2021-08-14T01:11:26+00:00 1 Answer 0 views 0

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    2021-08-14T01:12:49+00:00

    Answer:

    In a calendar, a square of four numbers is marked. The sum of the numbers is 80. What are the numbers?

    2.7 million jobs estimated for data science roles in 2020.

    This is an interesting problem because it gives you seemingly minimal information.

    The first thing to notice is the given fact that all the numbers are in a square of a calendar. This is very important because, although it doesn’t directly give us values for any of the numbers, it directly gives us information on the relationship between them.

    In a calendar, the number directly to the right of a chosen number (let’s have it be x) will be exactly one more than x. Hence, we can assign our first two numbers the respective values of x and x+1.

    Next, we jump down exactly one row from our first number, x. Because calendars show each row with exactly one row, we know that the number directly under x will be 7 more, because it is exactly a week later. This number would therefore be assigned the value of x+7.

    Using the same logic we used when we found x+1, we can derive our last value: x+8. The second piece of information states that the sum of all the numbers is 80.

    We plug that number in…

    80 = (x) + (x+1) + (x+7) + (x+8)

    Combining like terms, it follows that…

    80 = 4x + 16

    Subtracting 16 from both sides gives us…

    64 = 4x

    Dividing by 4 on both sides results in…

    x = 16

    Now that we have our x value, we can simply add 1, 7, and 8, respectively, to 16 to get our solution:

    The set of numbers is [16, 17, 23, 24]

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