in a calendar a square of 4 numbers is marked the sum of the numbers is 72 what are the numbers
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Since, the square is composed of 4 numbers,
2 numbers will mark its length, and 2 numbers will mark its breadth.
(as both are equal in square)
Two numbers will be consecutive and the other two numbers will be the same days of the next week (∴ they will also be consecutive)
Let the smallest number be x.
∴ next number = x + 1
Next week, same day
Number will be x + 7
And next number to it = x + 7 + 1 = x + 8
Sum of all the four numbers = 80(given)
⇒ x + x + 1 + x + 7 + x + 8 = 80
⇒ 4x + 16 = 80
⇒ 4x = 80-16
⇒ 4x = 64
⇒ x = 64/4
⇒x = 16
x + 1 = 17
x + 7 = 23
x + 8 = 24
Hence, the required numbers are 16,17,23 and 24.
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