A square of nine numbers is marked in a calendar. The sum of all
these numbers is 90. What are the numbers?7
Answers
Answer:
Hi
Step-by-step explanation:
Divide the sum (90) by the number of figures (9), you find 10.
the center line of the square will be a row of three numbers with 10 in the middle, i.e. 9 10 11. Its sum is three times 10 (because 9 + 11 = 2 * 10).
That is all. Pick any calendar month whereby 10 is not on a side, and select the square of numbers where 10 in in the center place. Example: October 2018, where 10 is a Wednesday. The square will be Tu We Th on three consecutive lines with 10 in the middle.
2 3 4 Sum of row: 9
9 10 11 Sum of row: 30
16 17 18 Sum of row: 51
Sum of all three rows: 90 QED
Step-by-step explanation:
Let the nine number in the calender are:
x
x + 1
x + 2
x + 7
x + 8
x + 9
x + 14
x + 15
x + 16
sum = 9x + 72 = 90
x = 90 - 72 ÷ 9 = 18 ÷ 9 = 2
The numbers in the calender are ;
2,3,4
9,10,11
16,17,18