Question

complete the ratio table.
13 \t square
square \t 21
65 \t 35
78 \t 42
91 \t 49

Explanation:

Step1: Find the ratio

First, we check the ratio between the numbers in the same row. Let's take the third row: \( \frac{65}{35}=\frac{13}{7} \) (dividing numerator and denominator by 5). Let's verify with the fourth row: \( \frac{78}{42}=\frac{13}{7} \) (dividing by 6), and fifth row: \( \frac{91}{49}=\frac{13}{7} \) (dividing by 7). So the ratio of the first column to the second column is \( \frac{13}{7} \), which means the first column number \( = \frac{13}{7} \times \) second column number, and second column number \( = \frac{7}{13} \times \) first column number.

Step2: Find the first missing number (second column, first row)

For the first row, first column is 13. So second column number \( = \frac{7}{13} \times 13 = 7 \).

Step3: Find the second missing number (first column, second row)

For the second row, second column is 21. So first column number \( = \frac{13}{7} \times 21 = 13\times3 = 39 \).

Answer:

The first missing number (top - blue box) is 7, and the second missing number (middle - white box) is 39. So the completed table has 7 in the top blue - box and 39 in the middle white - box.