The table given below shows the average number of articles (A, B and C) sold by Pesto company in three different months. It also shows the percentage of article A sold by Pesto company out of the total number of articles sold in these months. Table also reflects the total number of article C sold in these months. Read the table carefully and answer the following questions.

Months	Average number of articles sold	Percentage of article A sold	Total number of articles C sold
April	100	40%	100
May	120	30%	70
June	72	25%	80

Find the ratio of the sum of the number of articles A and B together sold in May to the difference between the articles B and C sold in April.

To find the required ratio, let us first calculate the number of articles of each type (A, B, and C) sold in the months of April and May.

1. Understanding the Table Structure:
Let $N$ be the total number of articles (A, B, and C together) sold in a month.
Since there are three types of articles (A, B, and C), the average number of articles sold is given by:
$\text{Average}=\frac{N}{3}$
Therefore, the total number of articles sold in any month is:
$N=3\times \text{Average number of articles sold}$

2. Calculations for April:
- The average number of articles sold is 100.
- Total articles sold in April, $N_{\text{April}}=3\times 100=300$.
- Percentage of article A sold is 40%.
- Number of articles A sold in April = $40\%\text{of}300=0.40\times 300=120$.
- Total number of articles C sold in April is given as 100.
- Since the total articles sold is the sum of A, B, and C sold:
$A_{\text{April}}+B_{\text{April}}+C_{\text{April}}=300$
$120+B_{\text{April}}+100=300$
$220+B_{\text{April}}=300$
$B_{\text{April}}=300-220=80$.
- The difference between articles B and C sold in April is:
$|B_{\text{April}}-C_{\text{April}}|=|80-100|=20$.

3. Calculations for May:
- The average number of articles sold is 120.
- Total articles sold in May, $N_{\text{May}}=3\times 120=360$.
- Percentage of article A sold is 30%.
- Number of articles A sold in May = $30\%\text{of}360=0.30\times 360=108$.
- Total number of articles C sold in May is given as 70.
- The sum of articles A and B sold in May can be calculated as:
$A_{\text{May}}+B_{\text{May}}=N_{\text{May}}-C_{\text{May}}$
$A_{\text{May}}+B_{\text{May}}=360-70=290$.

4. Finding the Required Ratio:
- We need to find the ratio of the sum of the number of articles A and B sold in May to the difference between articles B and C sold in April.
- Required Ratio = $\frac{A_{\text{May}}+B_{\text{May}}}{|B_{\text{April}}-C_{\text{April}}|}=\frac{290}{20}=\frac{29}{2}$.
- Thus, the ratio is 29:2.