Question

in a calendar, a square of four numbers are marked .the sum of the number is 24. what are the numbers​

Answer 1

Step-by-step explanation:

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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 tԋe 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

Answer 2

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 = 16

x + 1 = 17

x + 7 = 23

x + 8 = 24

Hence, the required numbers are 16,17,23 and 24.