The squares in the following sketch are filled with digits 1 to 9, without any repetition, such that the numbers in the two horizontal rows add up to 20 each. What number appears in the square labelled A in the vertical column?
To solve the problem, we need to fill the squares with digits 1 to 9, without repetition, so that the sum of the numbers in each horizontal row equals 20. We also need to find the number that appears in the square labelled A.
Let's consider the following steps:
- The total sum of numbers from 1 to 9 is \(1 + 2 + 3 + \ldots + 9 = 45\).
- If both horizontal rows sum to 20, then the vertical column, which includes square A, must sum to the remaining \(45 - 20 - 20 = 5\).
- This means the number in the square labelled A must be the only number in the vertical column whose value equals 5.
After checking the options, the correct answer that logically aligns with the constraints is:
- \(5\): As per our calculation, this is the number that fulfills the condition of the sum in the column.
Therefore, the number that appears in the square labelled A is 5.
Important Questions from Missing Number (Notes)
Which one will replace the question mark?
- If,
5$3@1 = 7
6$2@2 = 6
Then, 1$2@3=? - Identify the missing number (?) from the following figure.
72 24 6 96 16 12 108 ? 18 Which one will replace the question mark (?) ?
Find the missing number in the following figure.
