use the numbers 1,2,3,4,5,6,7,8 and 9 only once in the blanks and complete the table
Answers
Answer:
Given : Operators and 9 blank spaces , BODMAS rule to be applied.
To find : Fill the numbers from 1 to 9
Solution:
58 can be 7 * 8 + 2 or 6 * 9 + 4
Lets take case 1
7 * 8 + 2
in top row it can not be 7 as Division is there and sum is only 7
possible top row
2 + 8 ÷ 4 = 4
but 2 is required in 7 * 8 + 2
Hence this solution not possible
now lets take
Middle column 6 * 9 + 4
in top row 9 can not be there
top row can be
2 + 6 ÷ 3 = 4 or 1 + 6 ÷ 2 = 4
in middle row - 9 is there
hence middle row can
be 7 - 9 + 8 = 6 or 8 - 9 + 7 = 6
2 + 8 * 1 = 10 or 3 + 7 * 1 = 10
so one will be at bottom hence
top row can not be 1 + 6 ÷ 2 = 4
so Top row become 2 + 6 ÷ 3 = 4
Hence last column become 3 + 7 * 1 = 10
middle Row become 8 - 9 + 7 = 6
1st Column becomes 2 * 8 - 5 = 11
Bottom row become 5 + 4 + 1 = 10
Hence Solutin
2 + 6 ÷ 3 = 4
× × +
8 - 9 + 7 = 6
- + ×
5 + 4 + 1 = 10
= = =
11 58 10
Solution:
58 can be 7 * 8 + 2 or 6 * 9 + 4
Lets take case 1
7 * 8 + 2
in top row it can not be 7 as Division is there and sum is only 7
possible top row
2 + 8 ÷ 4 = 4
but 2 is required in 7 * 8 + 2
Hence this solution not possible
now lets take
Middle column 6 * 9 + 4
in top row 9 can not be there
top row can be
2 + 6 ÷ 3 = 4 or 1 + 6 ÷ 2 = 4
in middle row - 9 is there
hence middle row can
be 7 - 9 + 8 = 6 or 8 - 9 + 7 = 6
2 + 8 * 1 = 10 or 3 + 7 * 1 = 10
so one will be at bottom hence
top row can not be 1 + 6 ÷ 2 = 4
so Top row become 2 + 6 ÷ 3 = 4
Hence last column become 3 + 7 * 1 = 10
middle Row become 8 - 9 + 7 = 6
1st Column becomes 2 * 8 - 5 = 11
Bottom row become 5 + 4 + 1 = 10
Hence Solutin
2 + 6 ÷ 3 = 4
× × +
8 - 9 + 7 = 6
- + ×
5 + 4 + 1 = 10
= = =
11 58 10