A square of nine number is marked in calendar the sum of these numbers

1.	A square of nine number is marked in calendar the sum of these numbers is 90. What are the numbers
Answer» AnswEr : The required numbers are 2, 3, 4, 9,10, 11, 16,17and 18. ⠀⠀━━━━━━━━━━━━ GivEn : The numbers marked in the calendar are square in the arrangement. Sum of the numbers is 90. SoluTion : Since it is square with 9 numbers, 3 numbers would be it's breadth and other 3 would be length !! Let US assume that the smallest NUMBER be x. Then, the numbers will be, x x + 1 x + 2 For next week (same day), x + 7 x + 8 x + 9 Next week (same day) x + 14 x + 15 x + 16 Sum of these numbers is 90 (Given) ➝ x + (x + 1) + (x + 3) + (x + 7) + (x + 8) + (x + 9) + (x + 14) + (x + 15) + (x + 16) + (x + 17) = 90 ➝ 9x + 72 = 90 ➝ 9x = 90 - 72 ➝ 9x = 18 ➝ x = 18/9 ➝ x = 2 ⠀⠀━━━━━━━━━━━━ So, the numbers are : ➠ x = 2 ➠ x + 1= 2 + 1 = 3 ➠ x + 2 = 2 + 2 = 4 ➠ x + 7 = 2 + 7 = 9 ➠ x + 8 = 2 + 8 = 10 ➠ x + 9 = 2 + 9 = 11 ➠ x + 14 = 2 + 14 = 16 ➠ x + 15 = 2 + 15 = 17 ➠ x + 16 = 2 + 16 = 18 $\therefore$ The required numbers are 2, 3, 4, 9,10, 11, 16,17 and 18. ⠀⠀━━━━━━━━━━━━

A square of nine number is marked in calendar the sum of these numbers is 90. What are the numbers

Answer»

AnswEr :

The required numbers are 2, 3, 4, 9,10, 11, 16,17and 18.

⠀⠀━━━━━━━━━━━━

GivEn :

The numbers marked in the calendar are square in the arrangement.

Sum of the numbers is 90.

SoluTion :

Since it is square with 9 numbers, 3 numbers would be it's breadth and other 3 would be length !!

Let US assume that the smallest NUMBER be x.

Then, the numbers will be,

x + 1

x + 2

For next week (same day),

x + 7

x + 8

x + 9

Next week (same day)

x + 14

x + 15

x + 16

Sum of these numbers is 90 (Given)

➝ x + (x + 1) + (x + 3) + (x + 7) + (x + 8) + (x + 9) + (x + 14) + (x + 15) + (x + 16) + (x + 17) = 90

➝ 9x + 72 = 90

➝ 9x = 90 - 72

➝ 9x = 18

➝ x = 18/9

➝ x = 2

⠀⠀━━━━━━━━━━━━

So, the numbers are :

➠ x = 2

➠ x + 1= 2 + 1 = 3

➠ x + 2 = 2 + 2 = 4

➠ x + 7 = 2 + 7 = 9

➠ x + 8 = 2 + 8 = 10

➠ x + 9 = 2 + 9 = 11

➠ x + 14 = 2 + 14 = 16

➠ x + 15 = 2 + 15 = 17

➠ x + 16 = 2 + 16 = 18

$\therefore$ The required numbers are 2, 3, 4, 9,10, 11, 16,17 and 18.